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22207920 = 2435713219
BaseRepresentation
bin101010010110…
…1110110110000
31112210021112120
41110231312300
521141123140
62111554240
7356523060
oct124556660
945707476
1022207920
1111599159
12752b980
1347a73a7
142d413a0
151e3a1d0
hex152ddb0

22207920 has 80 divisors (see below), whose sum is σ = 78685440. Its totient is φ = 5075712.

The previous prime is 22207919. The next prime is 22207973. The reversal of 22207920 is 2970222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4930 + ... + 8289.

It is an arithmetic number, because the mean of its divisors is an integer number (983568).

Almost surely, 222207920 is an apocalyptic number.

22207920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22207920 is an abundant number, since it is smaller than the sum of its proper divisors (56477520).

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

22207920 is a wasteful number, since it uses less digits than its factorization.

22207920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13242 (or 13236 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 22207920 is about 4712.5279840018. The cubic root of 22207920 is about 281.0838940160.

The spelling of 22207920 in words is "twenty-two million, two hundred seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 13219 26438 39657 52876 66095 79314 92533 105752 132190 158628 185066 198285 211504 264380 277599 317256 370132 396570 462665 528760 555198 634512 740264 793140 925330 1057520 1110396 1387995 1480528 1586280 1850660 2220792 2775990 3172560 3701320 4441584 5551980 7402640 11103960 22207920