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226718032 = 24191315693
BaseRepresentation
bin11011000001101…
…11000101010000
3120210121110200011
431200313011100
5431014434112
634255204304
75422033342
oct1540670520
9523543604
10226718032
11106a81682
1263b16694
1337c804a8
1422179292
1514d85aa7
hexd837150

226718032 has 40 divisors (see below), whose sum is σ = 465996960. Its totient is φ = 106554240.

The previous prime is 226717993. The next prime is 226718039. The reversal of 226718032 is 230817622.

It is a junction number, because it is equal to n+sod(n) for n = 226717985 and 226718003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226718039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36978 + ... + 42670.

It is an arithmetic number, because the mean of its divisors is an integer number (11649924).

Almost surely, 2226718032 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 226718032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232998480).

226718032 is an abundant number, since it is smaller than the sum of its proper divisors (239278928).

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

226718032 is a wasteful number, since it uses less digits than its factorization.

226718032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 226718032 is about 15057.1588289425. The cubic root of 226718032 is about 609.7643378850.

It can be divided in two parts, 22671 and 8032, that added together give a palindrome (30703).

The spelling of 226718032 in words is "two hundred twenty-six million, seven hundred eighteen thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 76 131 152 262 304 524 1048 2096 2489 4978 5693 9956 11386 19912 22772 39824 45544 91088 108167 216334 432668 745783 865336 1491566 1730672 2983132 5966264 11932528 14169877 28339754 56679508 113359016 226718032