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1204164225 = 34521154059
BaseRepresentation
bin100011111000110…
…0001011010000001
310002220211212210000
41013301201122001
54431231223400
6315253230213
741561140605
oct10761413201
93086755700
101204164225
115687a0450
12297332369
13162621a14
14b5cd5505
1570aae600
hex47c61681

1204164225 has 60 divisors (see below), whose sum is σ = 2433348720. Its totient is φ = 583826400.

The previous prime is 1204164193. The next prime is 1204164229. The reversal of 1204164225 is 5224614021.

1204164225 is a `hidden beast` number, since 1 + 20 + 416 + 4 + 225 = 666.

It is not a de Polignac number, because 1204164225 - 25 = 1204164193 is a prime.

It is a super-2 number, since 2×12041642252 = 2900022961539701250, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1204164229) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 4755 + ... + 49304.

It is an arithmetic number, because the mean of its divisors is an integer number (40555812).

Almost surely, 21204164225 is an apocalyptic number.

1204164225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1204164225 is an abundant number, since it is smaller than the sum of its proper divisors (1229184495).

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

1204164225 is a wasteful number, since it uses less digits than its factorization.

1204164225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54092 (or 54078 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1204164225 is about 34701.0695080137. The cubic root of 1204164225 is about 1063.8863582177.

Adding to 1204164225 its reverse (5224614021), we get a palindrome (6428778246).

The spelling of 1204164225 in words is "one billion, two hundred four million, one hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 825 891 1485 2025 2475 4455 7425 22275 54059 162177 270295 486531 594649 810885 1351475 1459593 1783947 2432655 2973245 4054425 4378779 5351841 7297965 8919735 12163275 14866225 16055523 21893895 26759205 36489825 44598675 48166569 80277615 109469475 133796025 240832845 401388075 1204164225