Search a number
-
+
22440105792 = 2632132996809
BaseRepresentation
bin10100111001100010…
…001101011101000000
32010220220000111010100
4110321202031131000
5331424131341132
614150413202400
71423041515646
oct247142153500
963826014110
1022440105792
119575944685
124423190400
132168096310
14112c3c5196
158b50b537c
hex53988d740

22440105792 has 84 divisors (see below), whose sum is σ = 69268266340. Its totient is φ = 6904645632.

The previous prime is 22440105769. The next prime is 22440105823. The reversal of 22440105792 is 29750104422.

22440105792 is a `hidden beast` number, since 22 + 440 + 105 + 7 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6144051456 + 16296054336 = 78384^2 + 127656^2 .

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 11 ways as a sum of consecutive naturals, for example, 1490917 + ... + 1505892.

Almost surely, 222440105792 is an apocalyptic number.

It is an amenable number.

22440105792 is an abundant number, since it is smaller than the sum of its proper divisors (46828160548).

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

22440105792 is a wasteful number, since it uses less digits than its factorization.

22440105792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996840 (or 2996827 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 22440105792 in words is "twenty-two billion, four hundred forty million, one hundred five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 2996809 5993618 8990427 11987236 17980854 23974472 26971281 35961708 38958517 47948944 53942562 71923416 77917034 95897888 107885124 116875551 143846832 155834068 191795776 215770248 233751102 287693664 311668136 350626653 431540496 467502204 575387328 623336272 701253306 863080992 935004408 1246672544 1402506612 1726161984 1870008816 2493345088 2805013224 3740017632 5610026448 7480035264 11220052896 22440105792