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235224403164 = 223329304124697
BaseRepresentation
bin1101101100010001110…
…1111000110011011100
3211111011012012202201000
43123010131320303130
512323214421400124
6300021031150300
722665036302652
oct3330435706334
9744135182630
10235224403164
11908380526a3
1239708215390
1319248b9279a
14b556322dd2
1561baa7e6c9
hex36c4778cdc

235224403164 has 96 divisors (see below), whose sum is σ = 631103054400. Its totient is φ = 75676446720.

The previous prime is 235224403157. The next prime is 235224403207. The reversal of 235224403164 is 461304422532.

235224403164 is a `hidden beast` number, since 2 + 3 + 52 + 2 + 440 + 3 + 164 = 666.

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 31 ways as a sum of consecutive naturals, for example, 9512064 + ... + 9536760.

It is an arithmetic number, because the mean of its divisors is an integer number (6573990150).

Almost surely, 2235224403164 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 235224403164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315551527200).

235224403164 is an abundant number, since it is smaller than the sum of its proper divisors (395878651236).

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

235224403164 is a wasteful number, since it uses less digits than its factorization.

235224403164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27780 (or 27772 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 235224403164 its reverse (461304422532), we get a palindrome (696528825696).

The spelling of 235224403164 in words is "two hundred thirty-five billion, two hundred twenty-four million, four hundred three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3041 3132 6082 9123 12164 18246 24697 27369 36492 49394 54738 74091 82107 88189 98788 109476 148182 164214 176378 222273 264567 296364 328428 352756 444546 529134 666819 716213 793701 889092 1058268 1333638 1432426 1587402 2148639 2381103 2667276 2864852 3174804 4297278 4762206 6445917 8594556 9524412 12891834 19337751 25783668 38675502 75103577 77351004 150207154 225310731 300414308 450621462 675932193 901242924 1351864386 2027796579 2178003733 2703728772 4055593158 4356007466 6534011199 8111186316 8712014932 13068022398 19602033597 26136044796 39204067194 58806100791 78408134388 117612201582 235224403164