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622970811225 = 32527275172
BaseRepresentation
bin10010001000010111111…
…01000011001101011001
32012112222220111011121100
421010023331003031121
540201321011424400
61154104442302013
763002540345100
oct11041375031531
92175886434540
10622970811225
11220222867004
12a089b7b7909
13469909699b9
142221ad35037
1511311814100
hex910bf43359

622970811225 has 81 divisors (see below), whose sum is σ = 1298155689597. Its totient is φ = 284748770880.

The previous prime is 622970811163. The next prime is 622970811241. The reversal of 622970811225 is 522118079226.

The square root of 622970811225 is 789285.

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

622970811225 is a `hidden beast` number, since 62 + 297 + 0 + 81 + 1 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89638563609 + 533332247616 = 299397^2 + 730296^2 .

It is not a de Polignac number, because 622970811225 - 29 = 622970810713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 82871167 + ... + 82878683.

Almost surely, 2622970811225 is an apocalyptic number.

622970811225 is the 789285-th square number.

622970811225 is the 394643-rd centered octagonal number.

It is an amenable number.

622970811225 is an abundant number, since it is smaller than the sum of its proper divisors (675184878372).

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

622970811225 is an frugal number, since it uses more digits than its factorization.

622970811225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15064 (or 7532 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 622970811225 in words is "six hundred twenty-two billion, nine hundred seventy million, eight hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 7517 11025 22551 37585 52619 67653 112755 157857 187925 263095 338265 368333 473571 563775 789285 1104999 1315475 1691325 1841665 2367855 3314997 3946425 5524995 9208325 11839275 16574985 27624975 56505289 82874925 169515867 282526445 395537023 508547601 847579335 1186611069 1412632225 1977685115 2542738005 2768759161 3559833207 4237896675 5933055345 8306277483 9888425575 12713690025 13843795805 17799166035 24918832449 29665276725 41531387415 69218979025 88995830175 124594162245 207656937075 622970811225