Search a number
-
+
227146736351808 = 26337135327254957
BaseRepresentation
bin110011101001011010111000…
…100010000011101001000000
31002210021000102121101112211000
4303221122320202003221000
5214233033004001224213
62123033434202252000
765562544610120610
oct6351327042035100
91083230377345730
10227146736351808
1166415431a70669
12215866864b7000
139998acb2554c0
144013d64232a40
151b3d91b931c73
hexce96b8883a40

227146736351808 has 448 divisors, whose sum is σ = 837376968798720. Its totient is φ = 58776511832064.

The previous prime is 227146736351761. The next prime is 227146736351819. The reversal of 227146736351808 is 808153637641722.

It is a happy number.

227146736351808 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 46 + 73 + 6 + 3 + 518 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2271467363518082 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5293335 + ... + 21961622.

It is an arithmetic number, because the mean of its divisors is an integer number (1869145019640).

Almost surely, 2227146736351808 is an apocalyptic number.

227146736351808 is a gapful number since it is divisible by the number (28) 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 227146736351808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418688484399360).

227146736351808 is an abundant number, since it is smaller than the sum of its proper divisors (610230232446912).

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

227146736351808 is a wasteful number, since it uses less digits than its factorization.

227146736351808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27255051 (or 27255035 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 227146736351808 in words is "two hundred twenty-seven trillion, one hundred forty-six billion, seven hundred thirty-six million, three hundred fifty-one thousand, eight hundred eight".