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22100233025 = 521389764053
BaseRepresentation
bin10100100101010001…
…101100101101000001
32010001012111011100002
4110211101230231001
5330230124424100
614052552405345
71411443611153
oct244521545501
963035434302
1022100233025
1194110071a2
1243493a6855
132112847880
1410d91d2ad3
1589532c2d5
hex52546cb41

22100233025 has 24 divisors (see below), whose sum is σ = 29843949240. Its totient is φ = 16136778240.

The previous prime is 22100233003. The next prime is 22100233027. The reversal of 22100233025 is 52033200122.

It can be written as a sum of positive squares in 12 ways, for example, as 9070467121 + 13029765904 = 95239^2 + 114148^2 .

It is not a de Polignac number, because 22100233025 - 28 = 22100232769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22100232988 and 22100233006.

It is not an unprimeable number, because it can be changed into a prime (22100233027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353102 + ... + 410951.

It is an arithmetic number, because the mean of its divisors is an integer number (1243497885).

Almost surely, 222100233025 is an apocalyptic number.

22100233025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22100233025 is a deficient number, since it is larger than the sum of its proper divisors (7743716215).

22100233025 is a wasteful number, since it uses less digits than its factorization.

22100233025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764165 (or 764160 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 22100233025 its reverse (52033200122), we get a palindrome (74133433147).

The spelling of 22100233025 in words is "twenty-two billion, one hundred million, two hundred thirty-three thousand, twenty-five".

Divisors: 1 5 13 25 65 89 325 445 1157 2225 5785 28925 764053 3820265 9932689 19101325 49663445 68000717 248317225 340003585 884009321 1700017925 4420046605 22100233025