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232005025561 = 19210122512
BaseRepresentation
bin1101100000010010010…
…0111011111100011001
3211011211211101102212111
43120010210323330121
512300121241304221
6254325344512321
722522205115301
oct3300444737431
9734754342774
10232005025561
118a435874651
1238b6a01b6a1
1318b54bcac1a
14b32c932601
15607d104be1
hex360493bf19

232005025561 has 27 divisors (see below), whose sum is σ = 248296046079. Its totient is φ = 216751050000.

The previous prime is 232005025543. The next prime is 232005025579. The reversal of 232005025561 is 165520500232.

It is a happy number.

The square root of 232005025561 is 481669.

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

232005025561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232005025543) and next prime (232005025579).

It can be written as a sum of positive squares in only one way, i.e., 222907681161 + 9097344400 = 472131^2 + 95380^2 .

It is not a de Polignac number, because 232005025561 - 219 = 232004501273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232005025591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 924322686 + ... + 924322936.

Almost surely, 2232005025561 is an apocalyptic number.

232005025561 is the 481669-th square number.

232005025561 is the 240835-th centered octagonal number.

It is an amenable number.

232005025561 is a deficient number, since it is larger than the sum of its proper divisors (16291020518).

232005025561 is an frugal number, since it uses more digits than its factorization.

232005025561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 232005025561 its reverse (165520500232), we get a palindrome (397525525793).

The spelling of 232005025561 in words is "two hundred thirty-two billion, five million, twenty-five thousand, five hundred sixty-one".

Divisors: 1 19 101 251 361 1919 4769 10201 25351 36461 63001 90611 193819 481669 1197019 2560451 3682561 6363101 9151711 22743361 48648569 120898919 642673201 924322811 2297079461 12210790819 232005025561