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2144333620 = 22511134118287
BaseRepresentation
bin111111111001111…
…1110111100110100
312112102221102201201
41333303332330310
513342422133440
6552440302244
7104065351342
oct17763767464
95472842651
102144333620
11a00469650
124ba171984
13282341080
14164b0a992
15c83c319a
hex7fcfef34

2144333620 has 96 divisors (see below), whose sum is σ = 5419685376. Its totient is φ = 702182400.

The previous prime is 2144333617. The next prime is 2144333621. The reversal of 2144333620 is 263334412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144333621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108117 + ... + 126403.

It is an arithmetic number, because the mean of its divisors is an integer number (56455056).

Almost surely, 22144333620 is an apocalyptic number.

2144333620 is a gapful number since it is divisible by the number (20) 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 2144333620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709842688).

2144333620 is an abundant number, since it is smaller than the sum of its proper divisors (3275351756).

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

2144333620 is a wasteful number, since it uses less digits than its factorization.

2144333620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18361 (or 18359 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 2144333620 is about 46306.9500183288. The cubic root of 2144333620 is about 1289.5280247624.

The spelling of 2144333620 in words is "two billion, one hundred forty-four million, three hundred thirty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 41 44 52 55 65 82 110 130 143 164 205 220 260 286 410 451 533 572 715 820 902 1066 1430 1804 2132 2255 2665 2860 4510 5330 5863 9020 10660 11726 18287 23452 29315 36574 58630 73148 91435 117260 182870 201157 237731 365740 402314 475462 749767 804628 950924 1005785 1188655 1499534 2011570 2377310 2615041 2999068 3748835 4023140 4754620 5230082 7497670 8247437 9746971 10460164 13075205 14995340 16494874 19493942 26150410 32989748 38987884 41237185 48734855 52300820 82474370 97469710 107216681 164948740 194939420 214433362 428866724 536083405 1072166810 2144333620