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22245033920 = 26510925851
BaseRepresentation
bin10100101101111010…
…000100011111000000
32010102021221210211012
4110231322010133000
5331024212041140
614115204140052
71415152445204
oct245572043700
963367853735
1022245033920
11948581825a
124389997628
132136846185
141110526b04
158a2dd1265
hex52de847c0

22245033920 has 84 divisors (see below), whose sum is σ = 53470554984. Its totient is φ = 8814873600.

The previous prime is 22245033917. The next prime is 22245033983. The reversal of 22245033920 is 2933054222.

It is a super-3 number, since 3×222450339203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3798995 + ... + 3804845.

It is an arithmetic number, because the mean of its divisors is an integer number (636554226).

Almost surely, 222245033920 is an apocalyptic number.

22245033920 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 22245033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26735277492).

22245033920 is an abundant number, since it is smaller than the sum of its proper divisors (31225521064).

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

22245033920 is an equidigital number, since it uses as much as digits as its factorization.

22245033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 22245033920 in words is "twenty-two billion, two hundred forty-five million, thirty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 872 1090 1744 2180 3488 4360 5851 6976 8720 11702 11881 17440 23404 23762 29255 34880 46808 47524 58510 59405 93616 95048 117020 118810 187232 190096 234040 237620 374464 380192 468080 475240 637759 760384 936160 950480 1275518 1872320 1900960 2551036 3188795 3801920 5102072 6377590 10204144 12755180 20408288 25510360 40816576 51020720 69515731 102041440 139031462 204082880 278062924 347578655 556125848 695157310 1112251696 1390314620 2224503392 2780629240 4449006784 5561258480 11122516960 22245033920