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22130485533025 = 5219223221532
BaseRepresentation
bin1010000100000101001111…
…01110101001100101100001
32220100122122120212020100021
411002002213232221211201
510400041213244024100
6115022334340553441
74442606030165332
oct502024756514541
986318576766307
1022130485533025
117062539163111
1225950529b2881
13c46b851aab7c
1456719a884289
152859e8633a1a
hex1420a7ba9961

22130485533025 has 81 divisors (see below), whose sum is σ = 30290163895929. Its totient is φ = 16035884346240.

The previous prime is 22130485532951. The next prime is 22130485533031. The reversal of 22130485533025 is 52033558403122.

The square root of 22130485533025 is 4704305.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8150573916241 + 13979911616784 = 2854921^2 + 3738972^2 .

It is not a de Polignac number, because 22130485533025 - 29 = 22130485532513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10278905349 + ... + 10278907501.

Almost surely, 222130485533025 is an apocalyptic number.

22130485533025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22130485533025 is the 4704305-th square number.

22130485533025 is the 2352153-rd centered octagonal number.

It is an amenable number.

22130485533025 is a deficient number, since it is larger than the sum of its proper divisors (8159678362904).

22130485533025 is an frugal number, since it uses more digits than its factorization.

22130485533025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 22130485533025 in words is "twenty-two trillion, one hundred thirty billion, four hundred eighty-five million, five hundred thirty-three thousand, twenty-five".

Divisors: 1 5 19 23 25 95 115 361 437 475 529 575 1805 2153 2185 2645 8303 9025 10051 10765 10925 13225 40907 41515 49519 50255 53825 190969 204535 207575 247595 251275 777233 940861 954845 1022675 1138937 1237975 3886165 4635409 4704305 4774225 5694685 17876359 19430825 21639803 23177045 23521525 28473425 88072771 89381795 106614407 108199015 115885225 411156257 440363855 446908975 533072035 540995075 1673382649 2025673733 2055781285 2201819275 2452131361 2665360175 8366913245 10128368665 10278906425 12260656805 38487800927 41834566225 46590495859 50641843325 61303284025 192439004635 232952479295 885219421321 962195023175 1164762396475 4426097106605 22130485533025