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20367571225 = 52172232732
BaseRepresentation
bin10010111110000000…
…000111100100011001
31221120110011211011211
4102332000013210121
5313203044234400
613205015423121
71320504333061
oct227600074431
957513154154
1020367571225
118701a657a1
123b45084aa1
131bc78a38c1
14db30483a1
157e3175dba
hex4be007919

20367571225 has 81 divisors (see below), whose sum is σ = 28435454103. Its totient is φ = 14467875840.

The previous prime is 20367571223. The next prime is 20367571229. The reversal of 20367571225 is 52217576302.

The square root of 20367571225 is 142715.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5820316681 + 14547254544 = 76291^2 + 120612^2 .

It is not a de Polignac number, because 20367571225 - 21 = 20367571223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20367571223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 279007789 + ... + 279007861.

Almost surely, 220367571225 is an apocalyptic number.

20367571225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20367571225 is the 142715-th square number.

20367571225 is the 71358-th centered octagonal number.

It is an amenable number.

20367571225 is a deficient number, since it is larger than the sum of its proper divisors (8067882878).

20367571225 is an equidigital number, since it uses as much as digits as its factorization.

20367571225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 20367571225 in words is "twenty billion, three hundred sixty-seven million, five hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 5 17 23 25 73 85 115 289 365 391 425 529 575 1241 1445 1679 1825 1955 2645 5329 6205 6647 7225 8395 8993 9775 13225 21097 26645 28543 31025 33235 38617 41975 44965 90593 105485 122567 133225 142715 152881 166175 193085 224825 452965 485231 527425 612835 656489 713575 764405 965425 1540081 2083639 2264825 2426155 2819041 3064175 3282445 3822025 7700405 10418195 11160313 12130775 14095205 16412225 35421863 38502025 47923697 52090975 55801565 70476025 177109315 239618485 279007825 814702849 885546575 1198092425 4073514245 20367571225