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22388677120 = 29567130531
BaseRepresentation
bin10100110110011110…
…000001101000000000
32010210022020122020201
4110312132001220000
5331323000131440
614141335014544
71421545421065
oct246636015000
963708218221
1022388677120
119549908547
124409b0a454
13215a52a854
141125638c6c
158b080719a
hex536781a00

22388677120 has 80 divisors (see below), whose sum is σ = 54481968288. Its totient is φ = 8821739520.

The previous prime is 22388677117. The next prime is 22388677139. The reversal of 22388677120 is 2177688322.

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

It is a super-2 number, since 2×223886771202 (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 106255 + ... + 236785.

Almost surely, 222388677120 is an apocalyptic number.

22388677120 is a gapful number since it is divisible by the number (20) 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 22388677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27240984144).

22388677120 is an abundant number, since it is smaller than the sum of its proper divisors (32093291168).

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

22388677120 is an equidigital number, since it uses as much as digits as its factorization.

22388677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130621 (or 130605 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 22388677120 in words is "twenty-two billion, three hundred eighty-eight million, six hundred seventy-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 512 536 640 670 1072 1280 1340 2144 2560 2680 4288 5360 8576 10720 17152 21440 34304 42880 85760 130531 171520 261062 522124 652655 1044248 1305310 2088496 2610620 4176992 5221240 8353984 8745577 10442480 16707968 17491154 20884960 33415936 34982308 41769920 43727885 66831872 69964616 83539840 87455770 139929232 167079680 174911540 279858464 334159360 349823080 559716928 699646160 1119433856 1399292320 2238867712 2798584640 4477735424 5597169280 11194338560 22388677120