Search a number
-
+
228755817246816 = 253488254559123
BaseRepresentation
bin110100000000110101011101…
…001110100011000001100000
31002222221211202012222021220000
4310000311131032203001200
5214440413403203344231
62130304545514220000
766120030255060336
oct6400653516430140
91088854665867800
10228755817246816
1166985885202962
12217a64b0424600
139a847726133a2
14406bbaa991b56
151b6a6e53716e6
hexd00d5d3a3060

228755817246816 has 60 divisors (see below), whose sum is σ = 672764504202252. Its totient is φ = 76251939081408.

The previous prime is 228755817246787. The next prime is 228755817246823. The reversal of 228755817246816 is 618642718557822.

228755817246816 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 5 + 5 + 81 + 72 + 468 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 44127276970 + ... + 44127282153.

Almost surely, 2228755817246816 is an apocalyptic number.

It is an amenable number.

228755817246816 is an abundant number, since it is smaller than the sum of its proper divisors (444008686955436).

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

228755817246816 is an equidigital number, since it uses as much as digits as its factorization.

228755817246816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88254559145 (or 88254559128 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 72.

The spelling of 228755817246816 in words is "two hundred twenty-eight trillion, seven hundred fifty-five billion, eight hundred seventeen million, two hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 88254559123 176509118246 264763677369 353018236492 529527354738 706036472984 794291032107 1059054709476 1412072945968 1588582064214 2118109418952 2382873096321 2824145891936 3177164128428 4236218837904 4765746192642 6354328256856 7148619288963 8472437675808 9531492385284 12708656513712 14297238577926 19062984770568 25417313027424 28594477155852 38125969541136 57188954311704 76251939082272 114377908623408 228755817246816