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235224400992 = 2537412208231
BaseRepresentation
bin1101101100010001110…
…1111000010001100000
3211111011012012122201120
43123010131320101200
512323214421312432
6300021031132240
722665036263430
oct3330435702140
9744135178646
10235224400992
1190838050aa9
1239708214080
1319248b917b9
14b5563222c0
1561baa7dc2c
hex36c4778460

235224400992 has 144 divisors (see below), whose sum is σ = 723308011776. Its totient is φ = 65567462400.

The previous prime is 235224400979. The next prime is 235224401011. The reversal of 235224400992 is 299004422532.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025517 + ... + 1233747.

It is an arithmetic number, because the mean of its divisors is an integer number (5022972304).

Almost surely, 2235224400992 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 235224400992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361654005888).

235224400992 is an abundant number, since it is smaller than the sum of its proper divisors (488083610784).

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

235224400992 is a wasteful number, since it uses less digits than its factorization.

235224400992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208333 (or 208284 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 235224400992 in words is "two hundred thirty-five billion, two hundred twenty-four million, four hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1681 1722 1968 2296 3362 3444 3936 4592 5043 6724 6888 9184 10086 11767 13448 13776 20172 23534 26896 27552 35301 40344 47068 53792 70602 80688 94136 141204 161376 188272 208231 282408 376544 416462 564816 624693 832924 1129632 1249386 1457617 1665848 2498772 2915234 3331696 4372851 4997544 5830468 6663392 8537471 8745702 9995088 11660936 17074942 17491404 19990176 23321872 25612413 34149884 34982808 46643744 51224826 59762297 68299768 69965616 102449652 119524594 136599536 139931232 179286891 204899304 239049188 273199072 350036311 358573782 409798608 478098376 700072622 717147564 819597216 956196752 1050108933 1400145244 1434295128 1912393504 2100217866 2450254177 2800290488 2868590256 4200435732 4900508354 5600580976 5737180512 7350762531 8400871464 9801016708 11201161952 14701525062 16801742928 19602033416 29403050124 33603485856 39204066832 58806100248 78408133664 117612200496 235224400992