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22052405232225 = 3252877124989477
BaseRepresentation
bin1010000001110011110011…
…10001111100001001100001
32220002012010000222222120200
411000321321301330021201
510342301311214412400
6114522422441055413
74434143105450364
oct500717161741141
986065100888520
1022052405232225
1170324109374a5
122581aa1a87569
13c3c6c09b6154
145634b0a600db
15283978964b00
hex140e79c7c261

22052405232225 has 72 divisors (see below), whose sum is σ = 39575448315000. Its totient is φ = 11738334965760.

The previous prime is 22052405232223. The next prime is 22052405232281. The reversal of 22052405232225 is 52223250425022.

22052405232225 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 2 + 405 + 23 + 2 + 225 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10740295463121 + 11312109769104 = 3277239^2 + 3363348^2 .

It is not a de Polignac number, because 22052405232225 - 21 = 22052405232223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22052405232225.

It is not an unprimeable number, because it can be changed into a prime (22052405232223) 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, 246414187 + ... + 246503663.

It is an arithmetic number, because the mean of its divisors is an integer number (549659004375).

Almost surely, 222052405232225 is an apocalyptic number.

22052405232225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22052405232225 is a deficient number, since it is larger than the sum of its proper divisors (17523043082775).

22052405232225 is a wasteful number, since it uses less digits than its factorization.

22052405232225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91619 (or 91611 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 22052405232225 its reverse (52223250425022), we get a palindrome (74275655657247).

The spelling of 22052405232225 in words is "twenty-two trillion, fifty-two billion, four hundred five million, two hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 877 1249 2631 3747 4385 6245 7893 11241 13155 18735 21925 31225 39465 56205 65775 89477 93675 197325 268431 281025 447385 805293 1095373 1342155 2236925 3286119 4026465 5476865 6710775 9858357 16430595 20132325 27384325 49291785 78471329 82152975 111756773 235413987 246458925 335270319 392356645 558783865 706241961 1005810957 1177069935 1676351595 1961783225 2793919325 3531209805 5029054785 5885349675 8381757975 17656049025 25145273925 98010689921 294032069763 490053449605 882096209289 1470160348815 2450267248025 4410481046445 7350801744075 22052405232225