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22100233220 = 22513202941893
BaseRepresentation
bin10100100101010001…
…101100110000000100
32010001012111011121022
4110211101230300010
5330230124430340
614052552410312
71411443611552
oct244521546004
963035434538
1022100233220
11941100735a
1243493a6998
1321128479a0
1410d91d2bd2
1589532c3b5
hex52546cc04

22100233220 has 48 divisors (see below), whose sum is σ = 50006354160. Its totient is φ = 8155869696.

The previous prime is 22100233171. The next prime is 22100233247. The reversal of 22100233220 is 2233200122.

It can be written as a sum of positive squares in 8 ways, for example, as 2092696516 + 20007536704 = 45746^2 + 141448^2 .

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, 506594 + ... + 548486.

It is an arithmetic number, because the mean of its divisors is an integer number (1041799045).

Almost surely, 222100233220 is an apocalyptic number.

22100233220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100233220 is an abundant number, since it is smaller than the sum of its proper divisors (27906120940).

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

22100233220 is a wasteful number, since it uses less digits than its factorization.

22100233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43944 (or 43942 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 22100233220 its reverse (2233200122), we get a palindrome (24333433342).

The spelling of 22100233220 in words is "twenty-two billion, one hundred million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2029 4058 8116 10145 20290 26377 40580 41893 52754 83786 105508 131885 167572 209465 263770 418930 527540 544609 837860 1089218 2178436 2723045 5446090 10892180 85000897 170001794 340003588 425004485 850008970 1105011661 1700017940 2210023322 4420046644 5525058305 11050116610 22100233220