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22139136 = 28333203
BaseRepresentation
bin101010001110…
…1000100000000
31112122210012000
41110131010000
521131423021
62110304000
7356115405
oct124350400
945583160
1022139136
1111551508
1274b8000
134781ca6
142d242ac
151e24b26
hex151d100

22139136 has 72 divisors (see below), whose sum is σ = 65489760. Its totient is φ = 7377408.

The previous prime is 22139119. The next prime is 22139137. The reversal of 22139136 is 63193122.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22139137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5311 + ... + 8513.

It is an arithmetic number, because the mean of its divisors is an integer number (909580).

Almost surely, 222139136 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 22139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32744880).

22139136 is an abundant number, since it is smaller than the sum of its proper divisors (43350624).

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

22139136 is an equidigital number, since it uses as much as digits as its factorization.

22139136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 3208 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 22139136 is about 4705.2243304650. The cubic root of 22139136 is about 280.7933960022.

The spelling of 22139136 in words is "twenty-two million, one hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3203 3456 6406 6912 9609 12812 19218 25624 28827 38436 51248 57654 76872 86481 102496 115308 153744 172962 204992 230616 307488 345924 409984 461232 614976 691848 819968 922464 1229952 1383696 1844928 2459904 2767392 3689856 5534784 7379712 11069568 22139136