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233786755225 = 52967032
BaseRepresentation
bin1101100110111011000…
…1101100100010011001
3211100110000000200111001
43121232301230202121
512312243402131400
6255222233305001
722614311426362
oct3315661544231
9740400020431
10233786755225
119016a58a501
1239386865161
131907a091c2a
14b45b410b69
15613474ea6a
hex366ec6c899

233786755225 has 9 divisors (see below), whose sum is σ = 289898574303. Its totient is φ = 187027470120.

The previous prime is 233786755219. The next prime is 233786755231. The reversal of 233786755225 is 522557687332.

The square root of 233786755225 is 483515.

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

It is an interprime number because it is at equal distance from previous prime (233786755219) and next prime (233786755231).

It can be written as a sum of positive squares in only one way, i.e., 84163231881 + 149623523344 = 290109^2 + 386812^2 .

It is not a de Polignac number, because 233786755225 - 23 = 233786755217 is a prime.

It is a super-3 number, since 3×2337867552253 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2369224 + ... + 2465926.

Almost surely, 2233786755225 is an apocalyptic number.

233786755225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

233786755225 is the 483515-th square number.

233786755225 is the 241758-th centered octagonal number.

It is an amenable number.

233786755225 is a deficient number, since it is larger than the sum of its proper divisors (56111819078).

233786755225 is an frugal number, since it uses more digits than its factorization.

233786755225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193416 (or 96708 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 55.

The spelling of 233786755225 in words is "two hundred thirty-three billion, seven hundred eighty-six million, seven hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 96703 483515 2417575 9351470209 46757351045 233786755225