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1072235025 = 3252372592
BaseRepresentation
bin111111111010010…
…000001000010001
32202201121011221100
4333322100020101
54143443010100
6254221415013
735366563431
oct7772201021
92681534840
101072235025
11500281054
1225b10a469
131411ac0c4
14a25922c1
15641ee400
hex3fe90211

1072235025 has 81 divisors (see below), whose sum is σ = 2007821361. Its totient is φ = 546972480.

The previous prime is 1072234973. The next prime is 1072235051. The reversal of 1072235025 is 5205322701.

The square root of 1072235025 is 32745.

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 101787921 + 970447104 = 10089^2 + 31152^2 .

It is not a de Polignac number, because 1072235025 - 211 = 1072232977 is a prime.

It is a super-2 number, since 2×10722350252 = 2299375897673501250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1072235025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18173446 + ... + 18173504.

Almost surely, 21072235025 is an apocalyptic number.

1072235025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1072235025 is the 32745-th square number.

1072235025 is the 16373-rd centered octagonal number.

It is an amenable number.

1072235025 is a deficient number, since it is larger than the sum of its proper divisors (935586336).

1072235025 is an equidigital number, since it uses as much as digits as its factorization.

1072235025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The cubic root of 1072235025 is about 1023.5207772610.

Adding to 1072235025 its reverse (5205322701), we get a palindrome (6277557726).

The spelling of 1072235025 in words is "one billion, seventy-two million, two hundred thirty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 37 45 59 75 111 177 185 225 295 333 531 555 885 925 1369 1475 1665 2183 2655 2775 3481 4107 4425 6549 6845 8325 10443 10915 12321 13275 17405 19647 20535 31329 32745 34225 52215 54575 61605 80771 87025 98235 102675 128797 156645 163725 242313 261075 308025 386391 403855 491175 643985 726939 783225 1159173 1211565 1931955 2019275 3219925 3634695 4765489 5795865 6057825 9659775 14296467 18173475 23827445 28979325 42889401 71482335 119137225 214447005 357411675 1072235025