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23314015025 = 527289281761
BaseRepresentation
bin10101101101100111…
…111010001100110001
32020011210102200012222
4111231213322030301
5340221341440100
614413232130425
71453512600200
oct255547721461
966153380188
1023314015025
119984176614
124627996a15
132277156182
1411b24ad237
15916b8b485
hex56d9fa331

23314015025 has 72 divisors (see below), whose sum is σ = 34173002520. Its totient is φ = 15730176000.

The previous prime is 23314015009. The next prime is 23314015051. The reversal of 23314015025 is 52051041332.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 16031611456 + 7282403569 = 126616^2 + 85337^2 .

It is not a de Polignac number, because 23314015025 - 24 = 23314015009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23314014985 and 23314015003.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30635645 + ... + 30636405.

It is an arithmetic number, because the mean of its divisors is an integer number (474625035).

Almost surely, 223314015025 is an apocalyptic number.

23314015025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23314015025 is a deficient number, since it is larger than the sum of its proper divisors (10858987495).

23314015025 is a wasteful number, since it uses less digits than its factorization.

23314015025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 23314015025 its reverse (52051041332), we get a palindrome (75365056357).

The spelling of 23314015025 in words is "twenty-three billion, three hundred fourteen million, fifteen thousand, twenty-five".

Divisors: 1 5 7 25 35 49 89 175 245 281 445 623 761 1225 1405 1967 2225 3115 3805 4361 5327 7025 9835 13769 15575 19025 21805 25009 26635 37289 49175 67729 68845 109025 125045 133175 175063 186445 213841 338645 344225 474103 625225 875315 932225 1069205 1225441 1496887 1693225 2370515 3318721 4376575 5346025 6127205 7484435 10478209 11852575 16593605 19031849 30636025 37422175 52391045 82968025 95159245 133222943 261955225 475796225 666114715 932560601 3330573575 4662803005 23314015025