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226602864 = 24329716223
BaseRepresentation
bin11011000000110…
…10111101110000
3120210101121200200
431200122331300
5431002242424
634252515200
75421043515
oct1540327560
9523347620
10226602864
11106a030a4
1263a7bb00
1337c3cc47
142214930c
1514d618c9
hexd81af70

226602864 has 60 divisors (see below), whose sum is σ = 640750656. Its totient is φ = 74750976.

The previous prime is 226602853. The next prime is 226602869. The reversal of 226602864 is 468206622.

226602864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226602869) 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, 5857 + ... + 22079.

Almost surely, 2226602864 is an apocalyptic number.

226602864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226602864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320375328).

226602864 is an abundant number, since it is smaller than the sum of its proper divisors (414147792).

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

226602864 is a wasteful number, since it uses less digits than its factorization.

226602864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16334 (or 16325 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 226602864 is about 15053.3339828757. Note that the first 3 decimals coincide. The cubic root of 226602864 is about 609.6610712370.

The spelling of 226602864 in words is "two hundred twenty-six million, six hundred two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 16223 32446 48669 64892 97338 129784 146007 194676 259568 292014 389352 584028 778704 1168056 1573631 2336112 3147262 4720893 6294524 9441786 12589048 14162679 18883572 25178096 28325358 37767144 56650716 75534288 113301432 226602864