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22041611064 = 233211137203141
BaseRepresentation
bin10100100001110010…
…000100101100111000
32002220010011212010100
4110201302010230320
5330120123023224
614043100115400
71410132413514
oct244162045470
962803155110
1022041611064
119390a076a0
124331835b60
132103660c15
1410d14d3144
158900ecac9
hex521c84b38

22041611064 has 96 divisors (see below), whose sum is σ = 65598614640. Its totient is φ = 6630489600.

The previous prime is 22041611051. The next prime is 22041611077. The reversal of 22041611064 is 46011614022.

22041611064 is a `hidden beast` number, since 2 + 2 + 0 + 41 + 611 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22041611051) and next prime (22041611077).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6934 + ... + 210074.

Almost surely, 222041611064 is an apocalyptic number.

22041611064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22041611064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32799307320).

22041611064 is an abundant number, since it is smaller than the sum of its proper divisors (43557003576).

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

22041611064 is a wasteful number, since it uses less digits than its factorization.

22041611064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203301 (or 203294 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

It can be divided in two parts, 2204161 and 1064, that added together give a square (2205225 = 14852).

The spelling of 22041611064 in words is "twenty-two billion, forty-one million, six hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 137 198 264 274 396 411 548 792 822 1096 1233 1507 1644 2466 3014 3288 4521 4932 6028 9042 9864 12056 13563 18084 27126 36168 54252 108504 203141 406282 609423 812564 1218846 1625128 1828269 2234551 2437692 3656538 4469102 4875384 6703653 7313076 8938204 13407306 14626152 17876408 20110959 26814612 27830317 40221918 53629224 55660634 80443836 83490951 111321268 160887672 166981902 222642536 250472853 306133487 333963804 500945706 612266974 667927608 918400461 1001891412 1224533948 1836800922 2003782824 2449067896 2755201383 3673601844 5510402766 7347203688 11020805532 22041611064