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22089984 = 28372587
BaseRepresentation
bin101010001000…
…1000100000000
31112120021202120
41110101010000
521123334414
62105244240
7355522200
oct124210400
945507676
1022089984
1111518594
127493680
1347657c7
142d10400
151e152a9
hex1511100

22089984 has 108 divisors (see below), whose sum is σ = 68506704. Its totient is φ = 6300672.

The previous prime is 22089983. The next prime is 22090001. The reversal of 22089984 is 48998022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (22089983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37339 + ... + 37925.

Almost surely, 222089984 is an apocalyptic number.

22089984 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 22089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34253352).

22089984 is an abundant number, since it is smaller than the sum of its proper divisors (46416720).

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

22089984 is an equidigital number, since it uses as much as digits as its factorization.

22089984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 22089984 is about 4699.9982978720. The cubic root of 22089984 is about 280.5854417349.

The spelling of 22089984 in words is "twenty-two million, eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 587 588 672 768 784 896 1174 1176 1344 1568 1761 1792 2348 2352 2688 3136 3522 4109 4696 4704 5376 6272 7044 8218 9392 9408 12327 12544 14088 16436 18784 18816 24654 28176 28763 32872 37568 37632 49308 56352 57526 65744 75136 86289 98616 112704 115052 131488 150272 172578 197232 225408 230104 262976 345156 394464 450816 460208 525952 690312 788928 920416 1051904 1380624 1577856 1840832 2761248 3155712 3681664 5522496 7363328 11044992 22089984