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10226432 = 2843929
BaseRepresentation
bin100111000000…
…101100000000
3201020120000202
4213000230000
510104221212
61003104332
7152631446
oct47005400
921216022
1010226432
1158552a7
1235120a8
132170958
141502b96
15d700c2
hex9c0b00

10226432 has 36 divisors (see below), whose sum is σ = 20910120. Its totient is φ = 4988928.

The previous prime is 10226431. The next prime is 10226441. The reversal of 10226432 is 23462201.

It is a super-2 number, since 2×102264322 = 209159822901248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10226431) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10544 + ... + 11472.

Almost surely, 210226432 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 10226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10455060).

10226432 is an abundant number, since it is smaller than the sum of its proper divisors (10683688).

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

10226432 is an frugal number, since it uses more digits than its factorization.

10226432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 10226432 is about 3197.8792972844. The cubic root of 10226432 is about 217.0574575139.

Adding to 10226432 its reverse (23462201), we get a palindrome (33688633).

The spelling of 10226432 in words is "ten million, two hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 929 1376 1858 2752 3716 5504 7432 11008 14864 29728 39947 59456 79894 118912 159788 237824 319576 639152 1278304 2556608 5113216 10226432