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22091868416 = 28795471997
BaseRepresentation
bin10100100100110001…
…110010100100000000
32010000121202012020202
4110210301302210000
5330221004242131
614052053224332
71411312532432
oct244461624400
963017665222
1022091868416
1194073137a2
1243466320a8
132110ba94b7
1410d8056652
15894728bcb
hex524c72900

22091868416 has 72 divisors (see below), whose sum is σ = 44759675520. Its totient is φ = 10880722944.

The previous prime is 22091868413. The next prime is 22091868479. The reversal of 22091868416 is 61486819022.

It is not an unprimeable number, because it can be changed into a prime (22091868413) 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, 11061530 + ... + 11063526.

It is an arithmetic number, because the mean of its divisors is an integer number (621662160).

Almost surely, 222091868416 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 22091868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22379837760).

22091868416 is an abundant number, since it is smaller than the sum of its proper divisors (22667807104).

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

22091868416 is an equidigital number, since it uses as much as digits as its factorization.

22091868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 22091868416 in words is "twenty-two billion, ninety-one million, eight hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 547 632 1094 1264 1997 2188 2528 3994 4376 5056 7988 8752 10112 15976 17504 20224 31952 35008 43213 63904 70016 86426 127808 140032 157763 172852 255616 315526 345704 511232 631052 691408 1092359 1262104 1382816 2184718 2524208 2765632 4369436 5048416 5531264 8738872 10096832 11062528 17477744 20193664 34955488 40387328 69910976 86296361 139821952 172592722 279643904 345185444 690370888 1380741776 2761483552 5522967104 11045934208 22091868416