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22755565952 = 277293723669
BaseRepresentation
bin10101001100010101…
…100110000110000000
32011201212121112002222
4111030111212012000
5333100411102302
614242002430212
71433622055610
oct251425460600
964655545088
1022755565952
119717a18559
1244b0962368
1321b8548032
14115c260a40
158d2b29da2
hex54c566180

22755565952 has 128 divisors (see below), whose sum is σ = 55046952000. Its totient is φ = 9161220096.

The previous prime is 22755565879. The next prime is 22755565957. The reversal of 22755565952 is 25956555722.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 22755565894 and 22755565903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22755565957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949574 + ... + 973242.

Almost surely, 222755565952 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 22755565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27523476000).

22755565952 is an abundant number, since it is smaller than the sum of its proper divisors (32291386048).

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

22755565952 is a wasteful number, since it uses less digits than its factorization.

22755565952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23756 (or 23744 counting only the distinct ones).

The product of its digits is 9450000, while the sum is 53.

The spelling of 22755565952 in words is "twenty-two billion, seven hundred fifty-five million, five hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 37 56 58 64 74 112 116 128 148 203 224 232 259 296 406 448 464 518 592 812 896 928 1036 1073 1184 1624 1856 2072 2146 2368 3248 3712 4144 4292 4736 6496 7511 8288 8584 12992 15022 16576 17168 23669 25984 30044 33152 34336 47338 60088 68672 94676 120176 137344 165683 189352 240352 331366 378704 480704 662732 686401 757408 875753 961408 1325464 1372802 1514816 1751506 2650928 2745604 3029632 3503012 4804807 5301856 5491208 6130271 7006024 9609614 10603712 10982416 12260542 14012048 19219228 21207424 21964832 24521084 25396837 28024096 38438456 43929664 49042168 50793674 56048192 76876912 87859328 98084336 101587348 112096384 153753824 177777859 196168672 203174696 307507648 355555718 392337344 406349392 615015296 711111436 784674688 812698784 1422222872 1625397568 2844445744 3250795136 5688891488 11377782976 22755565952