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2222021244144 = 24313149167143107
BaseRepresentation
bin100000010101011010110…
…010010111010011110000
321212102102110222122102110
4200111122302113103300
5242401144414303034
64420441002445320
7316351520641032
oct40253262272360
97772373878373
102222021244144
11787399078709
122ba786503840
131316c6c33010
1479791481c52
153cbee879de9
hex2055ac974f0

2222021244144 has 160 divisors (see below), whose sum is σ = 6260574297600. Its totient is φ = 675039015936.

The previous prime is 2222021244143. The next prime is 2222021244161. The reversal of 2222021244144 is 4414421202222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222021244143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15455439 + ... + 15598545.

It is an arithmetic number, because the mean of its divisors is an integer number (39128589360).

Almost surely, 22222021244144 is an apocalyptic number.

2222021244144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222021244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130287148800).

2222021244144 is an abundant number, since it is smaller than the sum of its proper divisors (4038553053456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2222021244144 is a wasteful number, since it uses less digits than its factorization.

2222021244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143447 (or 143441 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 2222021244144 its reverse (4414421202222), we get a palindrome (6636442446366).

The spelling of 2222021244144 in words is "two trillion, two hundred twenty-two billion, twenty-one million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 149 156 167 208 298 312 334 447 501 596 624 668 894 1002 1192 1336 1788 1937 2004 2171 2384 2672 3576 3874 4008 4342 5811 6513 7152 7748 8016 8684 11622 13026 15496 17368 23244 24883 26052 30992 34736 46488 49766 52104 74649 92976 99532 104208 143107 149298 199064 286214 298596 323479 398128 429321 572428 597192 646958 858642 970437 1144856 1194384 1293916 1717284 1860391 1940874 2289712 2587832 3434568 3720782 3881748 5175664 5581173 6869136 7441564 7763496 11162346 14883128 15526992 21322943 22324692 23898869 29766256 42645886 44649384 47797738 63968829 71696607 85291772 89298768 95595476 127937658 143393214 170583544 191190952 255875316 277198259 286786428 310685297 341167088 382381904 511750632 554396518 573572856 621370594 831594777 932055891 1023501264 1108793036 1147145712 1242741188 1663189554 1864111782 2217586072 2485482376 3326379108 3560931481 3728223564 4435172144 4970964752 6652758216 7121862962 7456447128 10682794443 13305516432 14243725924 14912894256 21365588886 28487451848 42731177772 46292109253 56974903696 85462355544 92584218506 138876327759 170924711088 185168437012 277752655518 370336874024 555505311036 740673748048 1111010622072 2222021244144