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204404322132 = 223243951129187
BaseRepresentation
bin1011111001011101110…
…0100110111101010100
3201112121021210102122100
42332113130212331110
511322110001302012
6233522502002100
720524221033213
oct2762734467524
9645537712570
10204404322132
1179761a0264a
1233746716330
131637693654a
149c7100307a
1554b4e638dc
hex2f97726f54

204404322132 has 36 divisors (see below), whose sum is σ = 516704458816. Its totient is φ = 68132696400.

The previous prime is 204404322113. The next prime is 204404322137. The reversal of 204404322132 is 231223404402.

204404322132 is a `hidden beast` number, since 2 + 0 + 4 + 404 + 3 + 221 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2044043221322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204404322096 and 204404322105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204404322137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1517643 + ... + 1646829.

Almost surely, 2204404322132 is an apocalyptic number.

It is an amenable number.

204404322132 is an abundant number, since it is smaller than the sum of its proper divisors (312300136684).

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

204404322132 is a wasteful number, since it uses less digits than its factorization.

204404322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173148 (or 173143 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 204404322132 its reverse (231223404402), we get a palindrome (435627726534).

The spelling of 204404322132 in words is "two hundred four billion, four hundred four million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43951 87902 129187 131853 175804 258374 263706 387561 395559 516748 527412 775122 791118 1162683 1550244 1582236 2325366 4650732 5677897837 11355795674 17033693511 22711591348 34067387022 51101080533 68134774044 102202161066 204404322132