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227855384964 = 223423211532
BaseRepresentation
bin1101010000110100111…
…1010100000110000100
3210210010122002212010000
43110031033110012010
512213121434304324
6252401511401300
722314316546614
oct3241517240604
9723118085100
10227855384964
11886a6474209
12381b0383230
13186432a509c
14b057788a44
155dd8b719c9
hex350d3d4184

227855384964 has 135 divisors (see below), whose sum is σ = 623223734133. Its totient is φ = 72586533888.

The previous prime is 227855384959. The next prime is 227855384969. The reversal of 227855384964 is 469483558722.

The square root of 227855384964 is 477342.

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

227855384964 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 5 + 538 + 4 + 96 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (227855384959) and next prime (227855384969).

It can be written as a sum of positive squares in only one way, i.e., 180072922500 + 47782462464 = 424350^2 + 218592^2 .

It is not an unprimeable number, because it can be changed into a prime (227855384969) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 197619012 + ... + 197620164.

Almost surely, 2227855384964 is an apocalyptic number.

227855384964 is the 477342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227855384964

227855384964 is an abundant number, since it is smaller than the sum of its proper divisors (395368349169).

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

227855384964 is an equidigital number, since it uses as much as digits as its factorization.

227855384964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 1181 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 227855384964 in words is "two hundred twenty-seven billion, eight hundred fifty-five million, three hundred eighty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 828 1058 1153 1242 1587 1863 2116 2306 2484 3174 3459 3726 4612 4761 6348 6918 7452 9522 10377 13836 14283 19044 20754 26519 28566 31131 41508 42849 53038 57132 62262 79557 85698 93393 106076 124524 159114 171396 186786 238671 318228 373572 477342 609937 716013 954684 1219874 1329409 1432026 1829811 2148039 2439748 2658818 2864052 3659622 3988227 4296078 5317636 5489433 7319244 7976454 8592156 10978866 11964681 15952908 16468299 21957732 23929362 30576407 32936598 35894043 47858724 49404897 61152814 65873196 71788086 91729221 98809794 107682129 122305628 143576172 183458442 197619588 215364258 275187663 366916884 430728516 550375326 703257361 825562989 1100750652 1406514722 1651125978 2109772083 2476688967 2813029444 3302251956 4219544166 4953377934 6329316249 8439088332 9906755868 12658632498 18987948747 25317264996 37975897494 56963846241 75951794988 113927692482 227855384964