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10022912 = 2122447
BaseRepresentation
bin100110001111…
…000000000000
3200212012211222
4212033000000
510031213122
6554454212
7151123214
oct46170000
920765758
1010022912
1157263a9
123434368
1320cc123
14148c944
15d2eb42
hex98f000

10022912 has 26 divisors (see below), whose sum is σ = 20051568. Its totient is φ = 5009408.

The previous prime is 10022869. The next prime is 10022923. The reversal of 10022912 is 21922001.

It is a congruent number.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 2873 + ... + 5319.

Almost surely, 210022912 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 10022912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10025784).

10022912 is an abundant number, since it is smaller than the sum of its proper divisors (10028656).

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

10022912 is an frugal number, since it uses more digits than its factorization.

10022912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10022912 is about 3165.8982927441. The cubic root of 10022912 is about 215.6078848559.

Adding to 10022912 its reverse (21922001), we get a palindrome (31944913).

The spelling of 10022912 in words is "ten million, twenty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2447 4096 4894 9788 19576 39152 78304 156608 313216 626432 1252864 2505728 5011456 10022912