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10222221025 = 527322772
BaseRepresentation
bin10011000010100101…
…01011011011100001
3222101101220122001201
421201102223123201
5131413342033100
64410201401201
7511213305442
oct114122533341
928341818051
1010222221025
1143761a4a55
121b93499201
13c6ba54ac3
146cd88b2c9
153ec65636a
hex2614ab6e1

10222221025 has 27 divisors (see below), whose sum is σ = 12898133451. Its totient is φ = 8036634240.

The previous prime is 10222221007. The next prime is 10222221043. The reversal of 10222221025 is 52012222201.

The square root of 10222221025 is 101105.

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

It is an interprime number because it is at equal distance from previous prime (10222221007) and next prime (10222221043).

It can be written as a sum of positive squares in 13 ways, for example, as 8993297889 + 1228923136 = 94833^2 + 35056^2 .

It is not a de Polignac number, because 10222221025 - 215 = 10222188257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10222220993 and 10222221011.

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, 36903187 + ... + 36903463.

Almost surely, 210222221025 is an apocalyptic number.

10222221025 is the 101105-th square number.

10222221025 is the 50553-rd centered octagonal number.

It is an amenable number.

10222221025 is a deficient number, since it is larger than the sum of its proper divisors (2675912426).

10222221025 is an frugal number, since it uses more digits than its factorization.

10222221025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 10222221025 its reverse (52012222201), we get a palindrome (62234443226).

The spelling of 10222221025 in words is "ten billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty-five".

Divisors: 1 5 25 73 277 365 1385 1825 5329 6925 20221 26645 76729 101105 133225 383645 505525 1476133 1918225 5601217 7380665 28006085 36903325 140030425 408888841 2044444205 10222221025