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230226176331540 = 223254013189611753
BaseRepresentation
bin110100010110001110110101…
…011101010100111100010100
31010012011102000001222220212200
4310112032311131110330110
5220134011202120102130
62133352240104244500
766331202162062314
oct6426166535247424
91105142001886780
10230226176331540
11673a2411611954
12219a3460770730
139b60309b7bb6c
1440bd013767444
151b93aa03c2760
hexd163b5754f14

230226176331540 has 72 divisors (see below), whose sum is σ = 700094263108968. Its totient is φ = 61240545638400.

The previous prime is 230226176331533. The next prime is 230226176331589. The reversal of 230226176331540 is 45133671622032.

It is a happy number.

230226176331540 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 2 + 6 + 1 + 7 + 633 + 1 + 5 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131223119130756 + 99003057200784 = 11455266^2 + 9950028^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1594733697 + ... + 1594878056.

It is an arithmetic number, because the mean of its divisors is an integer number (9723531432069).

Almost surely, 2230226176331540 is an apocalyptic number.

230226176331540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230226176331540 is an abundant number, since it is smaller than the sum of its proper divisors (469868086777428).

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

230226176331540 is a wasteful number, since it uses less digits than its factorization.

230226176331540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189612169 (or 3189612164 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 230226176331540 in words is "two hundred thirty trillion, two hundred twenty-six billion, one hundred seventy-six million, three hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 802 1203 1604 2005 2406 3609 4010 4812 6015 7218 8020 12030 14436 18045 24060 36090 72180 3189611753 6379223506 9568835259 12758447012 15948058765 19137670518 28706505777 31896117530 38275341036 47844176295 57413011554 63792235060 95688352590 114826023108 143532528885 191376705180 287065057770 574130115540 1279034312953 2558068625906 3837102938859 5116137251812 6395171564765 7674205877718 11511308816577 12790343129530 15348411755436 19185514694295 23022617633154 25580686259060 38371029388590 46045235266308 57556544082885 76742058777180 115113088165770 230226176331540