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226962 = 235467
BaseRepresentation
bin110111011010010010
3102112100000
4313122102
524230322
64510430
71633461
oct673222
9375300
10226962
1114557a
12ab416
137c3c8
145c9d8
15473ac
hex37692

226962 has 24 divisors (see below), whose sum is σ = 511056. Its totient is φ = 75492.

The previous prime is 226943. The next prime is 226991. The reversal of 226962 is 269622.

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226962.

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, 253 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (21294).

2226962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255528).

226962 is an abundant number, since it is smaller than the sum of its proper divisors (284094).

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

226962 is an equidigital number, since it uses as much as digits as its factorization.

226962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 226962 is about 476.4052896432. The cubic root of 226962 is about 60.9982979011.

The spelling of 226962 in words is "two hundred twenty-six thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 467 486 934 1401 2802 4203 8406 12609 25218 37827 75654 113481 226962