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22042043232 = 25311131159337
BaseRepresentation
bin10100100001110011…
…101110001101100000
32002220010222210221120
4110201303232031200
5330120230340412
614043113252240
71410136163466
oct244163561540
962803883846
1022042043232
119391182360
124331a04080
132103782841
1410d15a6836
15890185b8c
hex521cee360

22042043232 has 96 divisors (see below), whose sum is σ = 63602630784. Its totient is φ = 6628377600.

The previous prime is 22042043201. The next prime is 22042043237. The reversal of 22042043232 is 23234024022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22042043237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58668 + ... + 218004.

It is an arithmetic number, because the mean of its divisors is an integer number (662527404).

Almost surely, 222042043232 is an apocalyptic number.

22042043232 is a gapful number since it is divisible by the number (22) 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 22042043232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31801315392).

22042043232 is an abundant number, since it is smaller than the sum of its proper divisors (41560587552).

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

22042043232 is a wasteful number, since it uses less digits than its factorization.

22042043232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159492 (or 159484 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22042043232 its reverse (23234024022), we get a palindrome (45276067254).

The spelling of 22042043232 in words is "twenty-two billion, forty-two million, forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 131 132 176 262 264 352 393 524 528 786 1048 1056 1441 1572 2096 2882 3144 4192 4323 5764 6288 8646 11528 12576 17292 23056 34584 46112 69168 138336 159337 318674 478011 637348 956022 1274696 1752707 1912044 2549392 3505414 3824088 5098784 5258121 7010828 7648176 10516242 14021656 15296352 20873147 21032484 28043312 41746294 42064968 56086624 62619441 83492588 84129936 125238882 166985176 168259872 229604617 250477764 333970352 459209234 500955528 667940704 688813851 918418468 1001911056 1377627702 1836836936 2003822112 2755255404 3673673872 5510510808 7347347744 11021021616 22042043232