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10220924 = 2272359269
BaseRepresentation
bin100110111111…
…010101111100
3201020021110202
4212333111330
510104032144
61003023032
7152606420
oct46772574
921207422
1010220924
11585114a
12350aa78
13216b2ac
141500b80
15d6d64e
hex9bf57c

10220924 has 48 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 4103616.

The previous prime is 10220923. The next prime is 10220929. The reversal of 10220924 is 42902201.

It is a junction number, because it is equal to n+sod(n) for n = 10220896 and 10220905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37862 + ... + 38130.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 210220924 is an apocalyptic number.

10220924 is a gapful number since it is divisible by the number (14) 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 10220924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

10220924 is an abundant number, since it is smaller than the sum of its proper divisors (11551876).

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

10220924 is a wasteful number, since it uses less digits than its factorization.

10220924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10220924 is about 3197.0179855609. The cubic root of 10220924 is about 217.0184811573.

The spelling of 10220924 in words is "ten million, two hundred twenty thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 59 92 118 161 236 269 322 413 538 644 826 1076 1357 1652 1883 2714 3766 5428 6187 7532 9499 12374 15871 18998 24748 31742 37996 43309 63484 86618 111097 173236 222194 365033 444388 730066 1460132 2555231 5110462 10220924