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22274616225 = 3522325091103
BaseRepresentation
bin10100101111101010…
…111010101110100001
32010111100121202010010
4110233222322232201
5331104300204400
614122142155133
71415662054041
oct245752725641
963440552103
1022274616225
1194a0492944
124397882aa9
13213ca02cb4
141114427721
158a57c6450
hex52fababa1

22274616225 has 72 divisors (see below), whose sum is σ = 38608778880. Its totient is φ = 11330675840.

The previous prime is 22274616191. The next prime is 22274616227. The reversal of 22274616225 is 52261647222.

It is not a de Polignac number, because 22274616225 - 211 = 22274614177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22274616227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20194024 + ... + 20195126.

It is an arithmetic number, because the mean of its divisors is an integer number (536233040).

Almost surely, 222274616225 is an apocalyptic number.

22274616225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22274616225 is a deficient number, since it is larger than the sum of its proper divisors (16334162655).

22274616225 is a wasteful number, since it uses less digits than its factorization.

22274616225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1643 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The spelling of 22274616225 in words is "twenty-two billion, two hundred seventy-four million, six hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 15 23 25 69 75 115 345 509 529 575 1103 1527 1587 1725 2545 2645 3309 5515 7635 7935 11707 12725 13225 16545 25369 27575 35121 38175 39675 58535 76107 82725 126845 175605 269261 292675 380535 561427 583487 634225 807783 878025 1346305 1684281 1750461 1902675 2807135 2917435 4038915 6731525 8421405 8752305 12912821 14035675 14587175 20194575 38738463 42107025 43761525 64564105 193692315 296994883 322820525 890984649 968461575 1484974415 4454923245 7424872075 22274616225