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63630225 = 3352107881
BaseRepresentation
bin1111001010111…
…0101110010001
311102201202021000
43302232232101
5112242131400
610151452213
71401563601
oct362565621
9142652230
1063630225
1132a1036a
1219387069
131024b429
148644c01
1558bd600
hex3caeb91

63630225 has 48 divisors (see below), whose sum is σ = 118117440. Its totient is φ = 33580800.

The previous prime is 63630223. The next prime is 63630233. The reversal of 63630225 is 52203636.

63630225 is a `hidden beast` number, since 6 + 3 + 630 + 2 + 25 = 666.

It is not a de Polignac number, because 63630225 - 21 = 63630223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (63630223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71785 + ... + 72665.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 263630225 is an apocalyptic number.

It is an amenable number.

63630225 is a deficient number, since it is larger than the sum of its proper divisors (54487215).

63630225 is a wasteful number, since it uses less digits than its factorization.

63630225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 63630225 is about 7976.8555834991. The cubic root of 63630225 is about 399.2281469820.

It can be divided in two parts, 636 and 30225, that multiplied together give a triangular number (19223100 = T6200).

The spelling of 63630225 in words is "sixty-three million, six hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 107 135 225 321 535 675 881 963 1605 2643 2675 2889 4405 4815 7929 8025 13215 14445 22025 23787 24075 39645 66075 72225 94267 118935 198225 282801 471335 594675 848403 1414005 2356675 2545209 4242015 7070025 12726045 21210075 63630225