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235420980804 = 223219324192
BaseRepresentation
bin1101101101000000101…
…1110001011001000100
3211111122220002221112100
43123100023301121010
512324120232341204
6300052332352100
723002644214422
oct3332013613104
9744586087470
10235420980804
1190929008359
1239762015630
131927a81c109
14b574494112
1561cce5ea39
hex36d02f1644

235420980804 has 81 divisors (see below), whose sum is σ = 599622349053. Its totient is φ = 77880743424.

The previous prime is 235420980787. The next prime is 235420980829. The reversal of 235420980804 is 408089024532.

The square root of 235420980804 is 485202.

It is a perfect power (a square), and thus also a powerful number.

235420980804 is a `hidden beast` number, since 23 + 542 + 0 + 9 + 8 + 0 + 80 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57039768900 + 178381211904 = 238830^2 + 422352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 235420980804.

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 26 ways as a sum of consecutive naturals, for example, 561863707 + ... + 561864125.

Almost surely, 2235420980804 is an apocalyptic number.

235420980804 is the 485202-nd square number.

It is an amenable number.

235420980804 is an abundant number, since it is smaller than the sum of its proper divisors (364201368249).

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

235420980804 is an equidigital number, since it uses as much as digits as its factorization.

235420980804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 235420980804 in words is "two hundred thirty-five billion, four hundred twenty million, nine hundred eighty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 419 579 772 838 1158 1257 1676 1737 2316 2514 3474 3771 5028 6948 7542 15084 37249 74498 80867 111747 148996 161734 175561 223494 242601 323468 335241 351122 446988 485202 526683 670482 702244 727803 970404 1053366 1340964 1455606 1580049 2106732 2911212 3160098 6320196 15607331 31214662 33883273 46821993 62429324 67766546 93643986 101649819 135533092 140465979 187287972 203299638 280931958 304949457 406599276 561863916 609898914 1219797828 6539471689 13078943378 19618415067 26157886756 39236830134 58855245201 78473660268 117710490402 235420980804