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22200133303044 = 22332922933091219
BaseRepresentation
bin1010000110000110111110…
…00011110011101100000100
32220121022102110102112112000
411003003133003303230010
510402211333111144134
6115114333410225300
74450622666362404
oct503033703635404
986538373375460
1022200133303044
11708a029547624
1225a664b885230
13c5060466b2c8
1456a6c67ac804
15287722d69e99
hex1430df0f3b04

22200133303044 has 96 divisors (see below), whose sum is σ = 59566572912000. Its totient is φ = 7141752229248.

The previous prime is 22200133303027. The next prime is 22200133303069. The reversal of 22200133303044 is 44030333100222.

22200133303044 is a `hidden beast` number, since 2 + 2 + 20 + 0 + 1 + 3 + 330 + 304 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22200133302999 and 22200133303017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5636067 + ... + 8727285.

It is an arithmetic number, because the mean of its divisors is an integer number (620485134500).

Almost surely, 222200133303044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200133303044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29783286456000).

22200133303044 is an abundant number, since it is smaller than the sum of its proper divisors (37366439608956).

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

22200133303044 is a wasteful number, since it uses less digits than its factorization.

22200133303044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093554 (or 3093546 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 22200133303044 its reverse (44030333100222), we get a palindrome (66230466403266).

The spelling of 22200133303044 in words is "twenty-two trillion, two hundred billion, one hundred thirty-three million, three hundred three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 2293 3132 4586 6879 9172 13758 20637 27516 41274 61911 66497 82548 123822 132994 199491 247644 265988 398982 598473 797964 1196946 1795419 2393892 3091219 3590838 6182438 7181676 9273657 12364876 18547314 27820971 37094628 55641942 83462913 89645351 111283884 166925826 179290702 268936053 333851652 358581404 537872106 806808159 1075744212 1613616318 2420424477 3227232636 4840848954 7088165167 9681697908 14176330334 21264495501 28352660668 42528991002 63793486503 85057982004 127586973006 191380459509 205556789843 255173946012 382760919018 411113579686 616670369529 765521838036 822227159372 1233340739058 1850011108587 2466681478116 3700022217174 5550033325761 7400044434348 11100066651522 22200133303044