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226132452 = 2233721319173
BaseRepresentation
bin11010111101010…
…00000111100100
3120202111201102000
431132220013210
5430342214302
634234445300
75414044200
oct1536500744
9522451360
10226132452
11106711727
1263893830
1337b06ab0
1422065b00
1514cbc31c
hexd7a81e4

226132452 has 288 divisors, whose sum is σ = 777571200. Its totient is φ = 56173824.

The previous prime is 226132393. The next prime is 226132457. The reversal of 226132452 is 254231622.

It is a happy number.

226132452 is a `hidden beast` number, since 2 + 2 + 613 + 2 + 45 + 2 = 666.

226132452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261324522 = 102271771695064608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (226132457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1307038 + ... + 1307210.

It is an arithmetic number, because the mean of its divisors is an integer number (2699900).

Almost surely, 2226132452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226132452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388785600).

226132452 is an abundant number, since it is smaller than the sum of its proper divisors (551438748).

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

226132452 is a wasteful number, since it uses less digits than its factorization.

226132452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 226132452 is about 15037.7010211003. The cubic root of 226132452 is about 609.2389074547.

The spelling of 226132452 in words is "two hundred twenty-six million, one hundred thirty-two thousand, four hundred fifty-two".