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22948016 = 2471315761
BaseRepresentation
bin101011110001…
…0100010110000
31121011212202112
41113202202300
521333314031
62135504452
7366024560
oct127424260
947155675
1022948016
1111a54203
127828128
1349a6210
143094da0
15203462b
hex15e28b0

22948016 has 40 divisors (see below), whose sum is σ = 54725664. Its totient is φ = 9077760.

The previous prime is 22948001. The next prime is 22948049. The reversal of 22948016 is 61084922.

It is a super-2 number, since 2×229480162 = 1053222876672512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6425 + ... + 9336.

Almost surely, 222948016 is an apocalyptic number.

22948016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

22948016 is an abundant number, since it is smaller than the sum of its proper divisors (31777648).

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

22948016 is a wasteful number, since it uses less digits than its factorization.

22948016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15789 (or 15783 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 22948016 is about 4790.4087508270. The cubic root of 22948016 is about 284.1722818994.

The spelling of 22948016 in words is "twenty-two million, nine hundred forty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 15761 31522 63044 110327 126088 204893 220654 252176 409786 441308 819572 882616 1434251 1639144 1765232 2868502 3278288 5737004 11474008 22948016