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1630413225 = 335273111131
BaseRepresentation
bin110000100101110…
…0010000110101001
311012121220120111000
41201023202012221
511314341210400
6425441225213
755255166220
oct14113420651
94177816430
101630413225
11767364651
12396032209
131cca23b6c
1411676dcb7
159820a600
hex612e21a9

1630413225 has 96 divisors (see below), whose sum is σ = 3533742080. Its totient is φ = 721224000.

The previous prime is 1630413217. The next prime is 1630413233. The reversal of 1630413225 is 5223140361.

1630413225 is a `hidden beast` number, since 1 + 630 + 4 + 1 + 3 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (1630413217) and next prime (1630413233).

It is not a de Polignac number, because 1630413225 - 23 = 1630413217 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140910 + ... + 152040.

Almost surely, 21630413225 is an apocalyptic number.

1630413225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1630413225 is an abundant number, since it is smaller than the sum of its proper divisors (1903328855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1630413225 is a wasteful number, since it uses less digits than its factorization.

1630413225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11188 (or 11177 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1630413225 is about 40378.3757102734. The cubic root of 1630413225 is about 1176.9713639876.

Adding to 1630413225 its reverse (5223140361), we get a palindrome (6853553586).

The spelling of 1630413225 in words is "one billion, six hundred thirty million, four hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 31 35 45 63 75 93 105 135 155 175 189 217 225 279 315 465 525 651 675 775 837 945 1085 1395 1575 1953 2325 3255 4185 4725 5425 5859 6975 9765 11131 16275 20925 29295 33393 48825 55655 77917 100179 146475 166965 233751 278275 300537 345061 389585 500895 701253 834825 1035183 1168755 1502685 1725305 1947925 2103759 2415427 2504475 3105549 3506265 5175915 5843775 7246281 7513425 8626525 9316647 10518795 12077135 15527745 17531325 21738843 25879575 36231405 46583235 52593975 60385675 65216529 77638725 108694215 181157025 232916175 326082645 543471075 1630413225