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22412334132 = 223217295632243
BaseRepresentation
bin10100110111111000…
…010001010000110100
32010211221202112120100
4110313320101100310
5331400024143012
614143542034100
71422253461006
oct246770212064
963757675510
1022412334132
1195611a63a1
124415a18930
1321623c1696
141128836376
158b292b8dc
hex537e11434

22412334132 has 144 divisors (see below), whose sum is σ = 62192370240. Its totient is φ = 6773781504.

The previous prime is 22412334059. The next prime is 22412334173. The reversal of 22412334132 is 23143321422.

22412334132 is a `hidden beast` number, since 2 + 241 + 2 + 3 + 3 + 413 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22412334096 and 22412334105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9991003 + ... + 9993245.

It is an arithmetic number, because the mean of its divisors is an integer number (431891460).

Almost surely, 222412334132 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 22412334132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31096185120).

22412334132 is an abundant number, since it is smaller than the sum of its proper divisors (39780036108).

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

22412334132 is a wasteful number, since it uses less digits than its factorization.

22412334132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2857 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 22412334132 its reverse (23143321422), we get a palindrome (45555655554).

The spelling of 22412334132 in words is "twenty-two billion, four hundred twelve million, three hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 563 612 986 1044 1126 1479 1689 1972 2243 2252 2958 3378 4437 4486 5067 5916 6729 6756 8874 8972 9571 10134 13458 16327 17748 19142 20187 20268 26916 28713 32654 38131 38284 40374 48981 57426 65047 65308 76262 80748 86139 97962 114393 114852 130094 146943 152524 172278 195141 195924 228786 260188 277559 293886 343179 344556 390282 457572 555118 585423 587772 686358 780564 832677 1105799 1110236 1170846 1262809 1372716 1665354 2211598 2341692 2498031 2525618 3317397 3330708 3788427 4423196 4996062 5051236 6634794 7576854 9952191 9992124 11365281 13269588 15153708 19904382 21467753 22730562 36621461 39808764 42935506 45461124 64403259 73242922 85871012 109864383 128806518 146485844 193209777 219728766 257613036 329593149 386419554 439457532 622564837 659186298 772839108 1245129674 1318372596 1867694511 2490259348 3735389022 5603083533 7470778044 11206167066 22412334132