Search a number
-
+
226123607705688 = 23347112411990773
BaseRepresentation
bin110011011010100010000001…
…010100000000100001011000
31002122122012120000100011110000
4303122202001110000201120
5214114302122033040223
62120531430140453000
765425614540120450
oct6332420124004130
91078565500304400
10226123607705688
1166060535579600
122144032a84a160
139923498367354
143dba6261b0d60
151b21ed9948543
hexcda881500858

226123607705688 has 240 divisors, whose sum is σ = 795620103117840. Its totient is φ = 58733404456320.

The previous prime is 226123607705609. The next prime is 226123607705693. The reversal of 226123607705688 is 886507706321622.

226123607705688 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 2 + 3 + 60 + 7 + 7 + 0 + 568 + 8 = 666.

It is a super-2 number, since 2×2261236077056882 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 205446531 + ... + 206544242.

It is an arithmetic number, because the mean of its divisors is an integer number (3315083762991).

Almost surely, 2226123607705688 is an apocalyptic number.

226123607705688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

226123607705688 is an abundant number, since it is smaller than the sum of its proper divisors (569496495412152).

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

226123607705688 is a wasteful number, since it uses less digits than its factorization.

226123607705688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411990820 (or 411990796 counting only the distinct ones).

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

The spelling of 226123607705688 in words is "two hundred twenty-six trillion, one hundred twenty-three billion, six hundred seven million, seven hundred five thousand, six hundred eighty-eight".