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22202490025 = 5217217532
BaseRepresentation
bin10100101011010111…
…110001110010101001
32010022022220100120101
4110223113301302221
5330432314140100
614111044225401
71414125023422
oct245327616251
963268810511
1022202490025
1194637aa411
12437769b261
13212aa9b781
141108a10649
1589e2ca86a
hex52b5f1ca9

22202490025 has 27 divisors (see below), whose sum is σ = 29262519471. Its totient is φ = 16707632640.

The previous prime is 22202490007. The next prime is 22202490029. The reversal of 22202490025 is 52009420222.

The square root of 22202490025 is 149005.

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 19970494489 + 2231995536 = 141317^2 + 47244^2 .

It is a de Polignac number, because none of the positive numbers 2k-22202490025 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22202489975 and 22202490002.

It is not an unprimeable number, because it can be changed into a prime (22202490029) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 12664549 + ... + 12666301.

Almost surely, 222202490025 is an apocalyptic number.

22202490025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22202490025 is the 149005-th square number.

22202490025 is the 74503-rd centered octagonal number.

It is an amenable number.

22202490025 is a deficient number, since it is larger than the sum of its proper divisors (7060029446).

22202490025 is an frugal number, since it uses more digits than its factorization.

22202490025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 22202490025 in words is "twenty-two billion, two hundred two million, four hundred ninety thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 1753 7225 8765 29801 43825 149005 506617 745025 2533085 3073009 12665425 15365045 52241153 76825225 261205765 888099601 1306028825 4440498005 22202490025