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22020096 = 22037
BaseRepresentation
bin101010000000…
…0000000000000
31112102201220010
41110000000000
521114120341
62103544520
7355111350
oct124000000
945381803
1022020096
111148002a
12745b140
13473ca57
142cd2b60
151dee716
hex1500000

22020096 has 84 divisors (see below), whose sum is σ = 67108832. Its totient is φ = 6291456.

The previous prime is 22020091. The next prime is 22020127. The reversal of 22020096 is 69002022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3145725 + ... + 3145731.

Almost surely, 222020096 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 22020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33554416).

22020096 is an abundant number, since it is smaller than the sum of its proper divisors (45088736).

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

22020096 is an frugal number, since it uses more digits than its factorization.

22020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 22020096 is about 4692.5575116348. The cubic root of 22020096 is about 280.2892249528.

Multiplying 22020096 by its sum of digits (21), we get a square (462422016 = 215042).

22020096 divided by its sum of digits (21) gives a 20-th power (1048576 = 220).

The spelling of 22020096 in words is "twenty-two million, twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 16384 21504 24576 28672 32768 43008 49152 57344 65536 86016 98304 114688 131072 172032 196608 229376 262144 344064 393216 458752 524288 688128 786432 917504 1048576 1376256 1572864 1835008 2752512 3145728 3670016 5505024 7340032 11010048 22020096