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22132433004120 = 23325254324175769
BaseRepresentation
bin1010000100001000110111…
…10011101010011001011000
32220100211200022101000110100
411002010123303222121120
510400104210322112440
6115023255510015400
74443005215340535
oct502043363523130
986324608330410
1022132433004120
117063348491a5a
1225954b7047560
13c471057c2a2a
14567303387d8c
15285aae5bc230
hex14211bcea658

22132433004120 has 96 divisors (see below), whose sum is σ = 71958695889600. Its totient is φ = 5899661016576.

The previous prime is 22132433004091. The next prime is 22132433004131. The reversal of 22132433004120 is 2140033423122.

22132433004120 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 243 + 3 + 0 + 0 + 412 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11172405 + ... + 13003364.

It is an arithmetic number, because the mean of its divisors is an integer number (749569748850).

Almost surely, 222132433004120 is an apocalyptic number.

22132433004120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132433004120 is an abundant number, since it is smaller than the sum of its proper divisors (49826262885480).

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

22132433004120 is a wasteful number, since it uses less digits than its factorization.

22132433004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24178329 (or 24178322 counting only the distinct ones).

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

Adding to 22132433004120 its reverse (2140033423122), we get a palindrome (24272466427242).

The spelling of 22132433004120 in words is "twenty-two trillion, one hundred thirty-two billion, four hundred thirty-three million, four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2543 5086 7629 10172 12715 15258 20344 22887 25430 30516 38145 45774 50860 61032 76290 91548 101720 114435 152580 183096 228870 305160 457740 915480 24175769 48351538 72527307 96703076 120878845 145054614 193406152 217581921 241757690 290109228 362636535 435163842 483515380 580218456 725273070 870327684 967030760 1087909605 1450546140 1740655368 2175819210 2901092280 4351638420 8703276840 61478980567 122957961134 184436941701 245915922268 307394902835 368873883402 491831844536 553310825103 614789805670 737747766804 922184708505 1106621650206 1229579611340 1475495533608 1844369417010 2213243300412 2459159222680 2766554125515 3688738834020 4426486600824 5533108251030 7377477668040 11066216502060 22132433004120