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235664992 = 2523973301
BaseRepresentation
bin11100000101111…
…11011001100000
3121102110000121001
432002333121200
5440312234432
635215041344
75561055643
oct1602773140
9542400531
10235664992
11111032662
1266b10254
1339a93954
1423427a5a
1515a519e7
hexe0bf660

235664992 has 48 divisors (see below), whose sum is σ = 489277152. Its totient is φ = 111513600.

The previous prime is 235664987. The next prime is 235665011. The reversal of 235664992 is 299466532.

235664992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69742 + ... + 73042.

It is an arithmetic number, because the mean of its divisors is an integer number (10193274).

Almost surely, 2235664992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235664992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244638576).

235664992 is an abundant number, since it is smaller than the sum of its proper divisors (253612160).

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

235664992 is a wasteful number, since it uses less digits than its factorization.

235664992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3423 counting only the distinct ones).

The product of its digits is 699840, while the sum is 46.

The square root of 235664992 is about 15351.3840418381. The cubic root of 235664992 is about 617.6821118688.

The spelling of 235664992 in words is "two hundred thirty-five million, six hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 92 97 184 194 368 388 736 776 1552 2231 3104 3301 4462 6602 8924 13204 17848 26408 35696 52816 71392 75923 105632 151846 303692 320197 607384 640394 1214768 1280788 2429536 2561576 5123152 7364531 10246304 14729062 29458124 58916248 117832496 235664992