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21822224420 = 22517157408809
BaseRepresentation
bin10100010100101101…
…001011100000100100
32002022211100212020002
4110110231023200210
5324142442140140
614005222000432
71401526563353
oct242455134044
962284325202
1021822224420
119289093217
124290276118
13209a079739
1410b030599a
1587ac14415
hex514b4b824

21822224420 has 48 divisors (see below), whose sum is σ = 48831536880. Its totient is φ = 8163078144.

The previous prime is 21822224419. The next prime is 21822224423. The reversal of 21822224420 is 2442222812.

It can be written as a sum of positive squares in 8 ways, for example, as 2862036004 + 18960188416 = 53498^2 + 137696^2 .

It is not an unprimeable number, because it can be changed into a prime (21822224423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151025 + ... + 257784.

It is an arithmetic number, because the mean of its divisors is an integer number (1017323685).

Almost surely, 221822224420 is an apocalyptic number.

21822224420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21822224420 is an abundant number, since it is smaller than the sum of its proper divisors (27009312460).

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

21822224420 is a wasteful number, since it uses less digits than its factorization.

21822224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408992 (or 408990 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

The spelling of 21822224420 in words is "twenty-one billion, eight hundred twenty-two million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 157 170 314 340 628 785 1570 2669 3140 5338 10676 13345 26690 53380 408809 817618 1635236 2044045 4088090 6949753 8176180 13899506 27799012 34748765 64183013 69497530 128366026 138995060 256732052 320915065 641830130 1091111221 1283660260 2182222442 4364444884 5455556105 10911112210 21822224420