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22252135392 = 2532241523613
BaseRepresentation
bin10100101110010101…
…001010001111100000
32010102210022121012200
4110232111022033200
5331033021313032
614120020253200
71415300013204
oct245625121740
963383277180
1022252135392
119489828743
124390241200
132138161626
141111454b04
158a383547c
hex52e54a3e0

22252135392 has 144 divisors (see below), whose sum is σ = 63767431728. Its totient is φ = 7360450560.

The previous prime is 22252135387. The next prime is 22252135441. The reversal of 22252135392 is 29353125222.

22252135392 is a `hidden beast` number, since 2 + 2 + 252 + 13 + 5 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 36300078 + ... + 36300690.

It is an arithmetic number, because the mean of its divisors is an integer number (442829387).

Almost surely, 222252135392 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 22252135392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31883715864).

22252135392 is an abundant number, since it is smaller than the sum of its proper divisors (41515296336).

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

22252135392 is a wasteful number, since it uses less digits than its factorization.

22252135392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 22252135392 in words is "twenty-two billion, two hundred fifty-two million, one hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 241 288 482 523 613 723 964 1046 1226 1446 1569 1839 1928 2092 2169 2452 2892 3138 3678 3856 4184 4338 4707 4904 5517 5784 6276 7356 7712 8368 8676 9414 9808 11034 11568 12552 14712 16736 17352 18828 19616 22068 23136 25104 29424 34704 37656 44136 50208 58848 69408 75312 88272 126043 147733 150624 176544 252086 295466 320599 378129 443199 504172 590932 641198 756258 886398 961797 1008344 1134387 1181864 1282396 1329597 1512516 1772796 1923594 2016688 2268774 2363728 2564792 2659194 2885391 3025032 3545592 3847188 4033376 4537548 4727456 5129584 5318388 5770782 6050064 7091184 7694376 9075096 10259168 10636776 11541564 12100128 14182368 15388752 18150192 21273552 23083128 30777504 36300384 42547104 46166256 77264359 92332512 154528718 231793077 309057436 463586154 618114872 695379231 927172308 1236229744 1390758462 1854344616 2472459488 2781516924 3708689232 5563033848 7417378464 11126067696 22252135392