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2152866232900 = 22521916312315647
BaseRepresentation
bin11111010101000000110…
…100111011101001000100
321121210220221122002012201
4133111000310323221010
5240233032223423100
64325002454524244
7311353014021325
oct37250064735104
97553827562181
102152866232900
11760030955159
122a92a6666684
13128025890a16
14762b0b8644c
153b00352b36a
hex1f540d3ba44

2152866232900 has 144 divisors (see below), whose sum is σ = 4952665231360. Its totient is φ = 810015811200.

The previous prime is 2152866232889. The next prime is 2152866232927. The reversal of 2152866232900 is 92326682512.

It is a super-2 number, since 2×21528662329002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381237877 + ... + 381243523.

Almost surely, 22152866232900 is an apocalyptic number.

2152866232900 is a gapful number since it is divisible by the number (20) 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 2152866232900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476332615680).

2152866232900 is an abundant number, since it is smaller than the sum of its proper divisors (2799798998460).

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

2152866232900 is a wasteful number, since it uses less digits than its factorization.

2152866232900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 2152866232900 in words is "two trillion, one hundred fifty-two billion, eight hundred sixty-six million, two hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 163 190 326 380 475 652 815 950 1231 1630 1900 2462 3097 3260 4075 4924 5647 6155 6194 8150 11294 12310 12388 15485 16300 22588 23389 24620 28235 30775 30970 46778 56470 61550 61940 77425 93556 107293 112940 116945 123100 141175 154850 200653 214586 233890 282350 309700 401306 429172 467780 536465 564700 584725 802612 920461 1003265 1072930 1169450 1840922 2006530 2145860 2338900 2682325 3681844 3812407 4013060 4602305 5016325 5364650 6951457 7624814 9204610 10032650 10729300 13902914 15249628 17488759 18409220 19062035 20065300 23011525 27805828 34757285 34977518 38124070 46023050 69514570 69955036 76248140 87443795 92046100 95310175 132077683 139029140 173786425 174887590 190620350 264155366 347572850 349775180 381240700 437218975 528310732 660388415 695145700 874437950 1133087491 1320776830 1748875900 2266174982 2641553660 3301942075 4532349964 5665437455 6603884150 11330874910 13207768300 21528662329 22661749820 28327187275 43057324658 56654374550 86114649316 107643311645 113308749100 215286623290 430573246580 538216558225 1076433116450 2152866232900