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232255002252125 = 5328145714468801
BaseRepresentation
bin110100110011110000010100…
…111010000001001101011101
31010110100100202102220021001002
4310303300110322001031131
5220420231221034032000
62141544250341000045
766630604316626226
oct6463602472011535
91113310672807032
10232255002252125
116800487a9944a6
12220706aa3b3025
139c7972548b078
14414d2b875c24d
151bcb743dad8d5
hexd33c14e8135d

232255002252125 has 32 divisors (see below), whose sum is σ = 291522284213472. Its totient is φ = 184737638400000.

The previous prime is 232255002252067. The next prime is 232255002252193. The reversal of 232255002252125 is 521252200552232.

It can be written as a sum of positive squares in 16 ways, for example, as 56628604939204 + 175626397312921 = 7525198^2 + 13252411^2 .

It is not a de Polignac number, because 232255002252125 - 228 = 232254733816669 is a prime.

It is a super-2 number, since 2×2322550022521252 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8817725 + ... + 23286525.

It is an arithmetic number, because the mean of its divisors is an integer number (9110071381671).

Almost surely, 2232255002252125 is an apocalyptic number.

232255002252125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232255002252125 is a deficient number, since it is larger than the sum of its proper divisors (59267281961347).

232255002252125 is a wasteful number, since it uses less digits than its factorization.

232255002252125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14469554 (or 14469544 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 38.

The spelling of 232255002252125 in words is "two hundred thirty-two trillion, two hundred fifty-five billion, two million, two hundred fifty-two thousand, one hundred twenty-five".

Divisors: 1 5 25 125 281 457 1405 2285 7025 11425 35125 57125 128417 642085 3210425 14468801 16052125 72344005 361720025 1808600125 4065733081 6612242057 20328665405 33061210285 101643327025 165306051425 508216635125 826530257125 1858040018017 9290200090085 46451000450425 232255002252125