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226028760264 = 233217389180533
BaseRepresentation
bin1101001010000001011…
…1010010110011001000
3210121102022222201002100
43102200113102303020
512200401330312024
6251500340433400
722221126522306
oct3224027226310
9717368881070
10226028760264
118794938501a
12379806a8860
1318411a22478
14ad22d41276
155d2d6097c9
hex34a05d2cc8

226028760264 has 48 divisors (see below), whose sum is σ = 612199820700. Its totient is φ = 75338169984.

The previous prime is 226028760263. The next prime is 226028760301. The reversal of 226028760264 is 462067820622.

It can be written as a sum of positive squares in 2 ways, for example, as 219557844900 + 6470915364 = 468570^2 + 80442^2 .

It is not an unprimeable number, because it can be changed into a prime (226028760263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1161742 + ... + 1342274.

Almost surely, 2226028760264 is an apocalyptic number.

226028760264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226028760264 is an abundant number, since it is smaller than the sum of its proper divisors (386171060436).

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

226028760264 is a wasteful number, since it uses less digits than its factorization.

226028760264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197934 (or 197927 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 226028760264 in words is "two hundred twenty-six billion, twenty-eight million, seven hundred sixty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17389 34778 52167 69556 104334 139112 156501 180533 208668 313002 361066 417336 541599 626004 722132 1083198 1252008 1444264 1624797 2166396 3249594 4332792 6499188 12998376 3139288337 6278576674 9417865011 12557153348 18835730022 25114306696 28253595033 37671460044 56507190066 75342920088 113014380132 226028760264