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227234461320 = 233852973409
BaseRepresentation
bin1101001110100000111…
…0101011011010001000
3210201112100201200000000
43103220032223122020
512210334010230240
6252220131043000
722263040023606
oct3235016533210
9721470650000
10227234461320
1188407a25079
1238058440460
1318574761849
14add9116876
155d9e3be430
hex34e83ab688

227234461320 has 576 divisors, whose sum is σ = 806155038000. Its totient is φ = 57563799552.

The previous prime is 227234461319. The next prime is 227234461327. The reversal of 227234461320 is 23164432722.

227234461320 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 34 + 4 + 613 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 161801844516 + 65432616804 = 402246^2 + 255798^2 .

It is a super-2 number, since 2×2272344613202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (227234461327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 555585276 + ... + 555585684.

Almost surely, 2227234461320 is an apocalyptic number.

227234461320 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 227234461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403077519000).

227234461320 is an abundant number, since it is smaller than the sum of its proper divisors (578920576680).

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

227234461320 is an equidigital number, since it uses as much as digits as its factorization.

227234461320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 227234461320 in words is "two hundred twenty-seven billion, two hundred thirty-four million, four hundred sixty-one thousand, three hundred twenty".