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225465564522 = 2311173710153773
BaseRepresentation
bin1101000111111011001…
…0110111110101101010
3210112222002020101202210
43101332302313311222
512143223141031042
6251324421305550
722201150451232
oct3217662676552
9715862211683
10225465564522
118768a4847a0
1237843b652b6
1318352141953
14acac218cc2
155ce8e5ba9c
hex347ecb7d6a

225465564522 has 128 divisors (see below), whose sum is σ = 540245438208. Its totient is φ = 61945344000.

The previous prime is 225465564509. The next prime is 225465564581.

225465564522 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4166028 + ... + 4219800.

It is an arithmetic number, because the mean of its divisors is an integer number (4220667486).

Almost surely, 2225465564522 is an apocalyptic number.

225465564522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225465564522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270122719104).

225465564522 is an abundant number, since it is smaller than the sum of its proper divisors (314779873686).

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

225465564522 is a wasteful number, since it uses less digits than its factorization.

225465564522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53944.

The product of its digits is 5760000, while the sum is 48.

It can be divided in two parts, 225465 and 564522, that added together give a palindrome (789987).

The spelling of 225465564522 in words is "two hundred twenty-five billion, four hundred sixty-five million, five hundred sixty-four thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 101 102 111 187 202 222 303 374 407 561 606 629 814 1111 1122 1221 1258 1717 1887 2222 2442 3333 3434 3737 3774 5151 6666 6919 7474 10302 11211 13838 18887 20757 22422 37774 41107 41514 53773 56661 63529 82214 107546 113322 123321 127058 161319 190587 246642 322638 381174 591503 698819 914141 1183006 1397638 1774509 1828282 1989601 2096457 2742423 3549018 3979202 4192914 5431073 5484846 5968803 10055551 10862146 11937606 16293219 20111102 21885611 30166653 32586438 33823217 43771222 59741803 60333306 65656833 67646434 92328241 101469651 119483606 131313666 179225409 184656482 200949701 202939302 276984723 358450818 372055387 401899402 553969446 602849103 744110774 1015610651 1116166161 1205698206 2031221302 2210446711 2232332322 3046831953 3416144917 4420893422 6093663906 6631340133 6832289834 10248434751 13262680266 20496869502 37577594087 75155188174 112732782261 225465564522