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922272 = 25313739
BaseRepresentation
bin11100001001010100000
31201212010020
43201022200
5214003042
631433440
710560561
oct3411240
91655106
10922272
1157aa0a
12385880
13263a30
141a0168
151333ec
hexe12a0

922272 has 48 divisors (see below), whose sum is σ = 2610720. Its totient is φ = 283392.

The previous prime is 922261. The next prime is 922283. The reversal of 922272 is 272229.

It is an interprime number because it is at equal distance from previous prime (922261) and next prime (922283).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

922272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879 + ... + 1617.

It is an arithmetic number, because the mean of its divisors is an integer number (54390).

2922272 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 922272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305360).

922272 is an abundant number, since it is smaller than the sum of its proper divisors (1688448).

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

922272 is a wasteful number, since it uses less digits than its factorization.

922272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 757 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 922272 is about 960.3499362212. The cubic root of 922272 is about 97.3388791903.

It can be divided in two parts, 92227 and 2, that added together give a palindrome (92229).

The spelling of 922272 in words is "nine hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 739 1248 1478 2217 2956 4434 5912 8868 9607 11824 17736 19214 23648 28821 35472 38428 57642 70944 76856 115284 153712 230568 307424 461136 922272