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1002672225 = 325221112
BaseRepresentation
bin111011110000111…
…001000001100001
32120212201000201100
4323300321001201
54023141002400
6243254425013
733563400432
oct7360710141
92525630640
101002672225
11474a89535
1223b962169
1312c964599
1497245489
155d05d100
hex3bc39061

1002672225 has 27 divisors (see below), whose sum is σ = 1796748499. Its totient is φ = 534505200.

The previous prime is 1002672157. The next prime is 1002672233. The reversal of 1002672225 is 5222762001.

The square root of 1002672225 is 31665.

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

It can be written as a sum of positive squares in only one way, i.e., 360962001 + 641710224 = 18999^2 + 25332^2 .

It is a de Polignac number, because none of the positive numbers 2k-1002672225 is a prime.

It is a Duffinian number.

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, 473920 + ... + 476030.

Almost surely, 21002672225 is an apocalyptic number.

1002672225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1002672225 is the 31665-th square number.

1002672225 is the 15833-rd centered octagonal number.

It is an amenable number.

1002672225 is a deficient number, since it is larger than the sum of its proper divisors (794076274).

1002672225 is an frugal number, since it uses more digits than its factorization.

1002672225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 1002672225 is about 1000.8899494217.

The spelling of 1002672225 in words is "one billion, two million, six hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2111 6333 10555 18999 31665 52775 94995 158325 474975 4456321 13368963 22281605 40106889 66844815 111408025 200534445 334224075 1002672225