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22841788225 = 5216721812
BaseRepresentation
bin10101010001011110…
…100000011101000001
32011221212212001211111
4111101132200131001
5333234444210400
614254322443321
71436016665524
oct252136403501
964855761744
1022841788225
119761659633
124515803541
132200376629
1411698a6bbb
158da4ac3ba
hex5517a0741

22841788225 has 27 divisors (see below), whose sum is σ = 28652734281. Its totient is φ = 18063655200.

The previous prime is 22841788169. The next prime is 22841788231. The reversal of 22841788225 is 52288714822.

The square root of 22841788225 is 151135.

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 12259139841 + 10582648384 = 110721^2 + 102872^2 .

It is not a de Polignac number, because 22841788225 - 27 = 22841788097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126197635 + ... + 126197815.

Almost surely, 222841788225 is an apocalyptic number.

22841788225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22841788225 is the 151135-th square number.

22841788225 is the 75568-th centered octagonal number.

It is an amenable number.

22841788225 is a deficient number, since it is larger than the sum of its proper divisors (5810946056).

22841788225 is an frugal number, since it uses more digits than its factorization.

22841788225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 353 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 49.

Multiplying 22841788225 by its sum of digits (49), we get a square (1119247623025 = 10579452).

The spelling of 22841788225 in words is "twenty-two billion, eight hundred forty-one million, seven hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 167 181 835 905 4175 4525 27889 30227 32761 139445 151135 163805 697225 755675 819025 5047909 5471087 25239545 27355435 126197725 136777175 913671529 4568357645 22841788225