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226131372 = 223314472
BaseRepresentation
bin11010111101001…
…11110110101100
3120202111122221000
431132213312230
5430342200442
634234440300
75414041065
oct1536476654
9522448830
10226131372
11106710935
1263893090
1337b0645c
142206556c
1514cbbd4c
hexd7a7dac

226131372 has 36 divisors (see below), whose sum is σ = 586671960. Its totient is φ = 75325032.

The previous prime is 226131361. The next prime is 226131401. The reversal of 226131372 is 273131622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226131372 is a `hidden beast` number, since 2 + 261 + 31 + 372 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2261313722 = 102270794805204768, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155553 + ... + 156999.

Almost surely, 2226131372 is an apocalyptic number.

It is an amenable number.

226131372 is an abundant number, since it is smaller than the sum of its proper divisors (360540588).

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

226131372 is an equidigital number, since it uses as much as digits as its factorization.

226131372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 1452 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 226131372 is about 15037.6651113130. The cubic root of 226131372 is about 609.2379375525.

Multiplying 226131372 by its sum of digits (27), we get a square (6105547044 = 781382).

226131372 divided by its sum of digits (27) gives a square (8375236 = 28942).

Adding to 226131372 its reverse (273131622), we get a palindrome (499262994).

It can be divided in two parts, 2261 and 31372, that added together give a palindrome (33633).

The spelling of 226131372 in words is "two hundred twenty-six million, one hundred thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1447 2894 4341 5788 8682 13023 17364 26046 39069 52092 78138 156276 2093809 4187618 6281427 8375236 12562854 18844281 25125708 37688562 56532843 75377124 113065686 226131372