Search a number
-
+
226416732264 = 23323738430769
BaseRepresentation
bin1101001011011101111…
…1010010100001101000
3210122102101000201121200
43102313133102201220
512202200140413024
6252003040204200
722233550320102
oct3226737224150
9718371021550
10226416732264
1188028385138
1237a6a609660
13184742120b8
14ad5c694572
155d526e42c9
hex34b77d2868

226416732264 has 48 divisors (see below), whose sum is σ = 614856056100. Its totient is φ = 75269896704.

The previous prime is 226416732263. The next prime is 226416732293. The reversal of 226416732264 is 462237614622.

226416732264 is a `hidden beast` number, since 2 + 2 + 6 + 416 + 7 + 3 + 226 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219625324164 + 6791408100 = 468642^2 + 82410^2 .

It is not an unprimeable number, because it can be changed into a prime (226416732263) 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, 4188529 + ... + 4242240.

Almost surely, 2226416732264 is an apocalyptic number.

226416732264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226416732264 is an abundant number, since it is smaller than the sum of its proper divisors (388439323836).

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

226416732264 is a wasteful number, since it uses less digits than its factorization.

226416732264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8431154 (or 8431147 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 226416732264 in words is "two hundred twenty-six billion, four hundred sixteen million, seven hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 373 746 1119 1492 2238 2984 3357 4476 6714 8952 13428 26856 8430769 16861538 25292307 33723076 50584614 67446152 75876921 101169228 151753842 202338456 303507684 607015368 3144676837 6289353674 9434030511 12578707348 18868061022 25157414696 28302091533 37736122044 56604183066 75472244088 113208366132 226416732264