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22113984 = 263149773
BaseRepresentation
bin101010001011…
…0111011000000
31112121111200110
41110112323000
521130121414
62105551320
7355652154
oct124267300
945544613
1022113984
1111534622
1274a5540
1347736c9
142d19064
151e1c459
hex1516ec0

22113984 has 56 divisors (see below), whose sum is σ = 58978800. Its totient is φ = 7312384.

The previous prime is 22113983. The next prime is 22113989. The reversal of 22113984 is 48931122.

It is not an unprimeable number, because it can be changed into a prime (22113983) by changing a digit.

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, 28222 + ... + 28994.

Almost surely, 222113984 is an apocalyptic number.

22113984 is a gapful number since it is divisible by the number (24) 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 22113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29489400).

22113984 is an abundant number, since it is smaller than the sum of its proper divisors (36864816).

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

22113984 is a wasteful number, since it uses less digits than its factorization.

22113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 927 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 22113984 is about 4702.5507971738. The cubic root of 22113984 is about 280.6870204006.

The spelling of 22113984 in words is "twenty-two million, one hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 773 894 1192 1546 1788 2319 2384 3092 3576 4638 4768 6184 7152 9276 9536 12368 14304 18552 24736 28608 37104 49472 74208 115177 148416 230354 345531 460708 691062 921416 1382124 1842832 2764248 3685664 5528496 7371328 11056992 22113984