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220151124255656 = 231137598912876401
BaseRepresentation
bin110010000011100111101101…
…100011101110001110101000
31001212111020112101001011221002
4302003213231203232032220
5212323424000302140111
62100120010312534132
764241252042326106
oct6203475543561650
91055436471034832
10220151124255656
1164168627350440
122083691a0b1348
1395ac214a161a9
143c5152aa86c76
151a6b98157c63b
hexc839ed8ee3a8

220151124255656 has 128 divisors (see below), whose sum is σ = 475602784272000. Its totient is φ = 94638449664000.

The previous prime is 220151124255539. The next prime is 220151124255659. The reversal of 220151124255656 is 656552421151022.

It is a super-2 number, since 2×2201511242556562 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220151124255656.

It is not an unprimeable number, because it can be changed into a prime (220151124255659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10659056 + ... + 23535456.

It is an arithmetic number, because the mean of its divisors is an integer number (3715646752125).

Almost surely, 2220151124255656 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 220151124255656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237801392136000).

220151124255656 is an abundant number, since it is smaller than the sum of its proper divisors (255451660016344).

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

220151124255656 is a wasteful number, since it uses less digits than its factorization.

220151124255656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876603 (or 12876599 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 47.

The spelling of 220151124255656 in words is "two hundred twenty trillion, one hundred fifty-one billion, one hundred twenty-four million, two hundred fifty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 37 44 59 74 88 89 118 148 178 236 296 356 407 472 649 712 814 979 1298 1628 1958 2183 2596 3256 3293 3916 4366 5192 5251 6586 7832 8732 10502 13172 17464 21004 24013 26344 36223 42008 48026 57761 72446 96052 115522 144892 192104 194287 231044 289784 388574 462088 777148 1554296 2137157 4274314 8548628 12876401 17097256 25752802 51505604 103011208 141640411 283280822 476426837 566561644 759707659 952853674 1133123288 1145999689 1519415318 1905707348 2291999378 3038830636 3811414696 4583998756 5240695207 6077661272 8356784249 9167997512 10481390414 12605996579 16713568498 20962780828 25211993158 28109183383 33427136996 41925561656 42401988493 50423986316 56218366766 66854273992 67613981651 84803976986 100847972632 112436733532 135227963302 169607953972 224873467064 270455926604 309201017213 339215907944 466421873423 540911853208 618402034426 743753798161 932843746846 1236804068852 1487507596322 1865687493692 2473608137704 2501717321087 2975015192644 3731374987384 5003434642174 5950030385288 10006869284348 20013738568696 27518890531957 55037781063914 110075562127828 220151124255656