Search a number
-
+
23114368 = 27892029
BaseRepresentation
bin101100000101…
…1001010000000
31121111022221201
41120023022000
521404124433
62143230544
7400316554
oct130131200
947438851
1023114368
1112058192
1278a8454
134a33b54
1430d9864
152068a7d
hex160b280

23114368 has 32 divisors (see below), whose sum is σ = 46588500. Its totient is φ = 11421696.

The previous prime is 23114353. The next prime is 23114383. The reversal of 23114368 is 86341132.

It is an interprime number because it is at equal distance from previous prime (23114353) and next prime (23114383).

It can be written as a sum of positive squares in 2 ways, for example, as 22353984 + 760384 = 4728^2 + 872^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10378 + ... + 12406.

Almost surely, 223114368 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 23114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23294250).

23114368 is an abundant number, since it is smaller than the sum of its proper divisors (23474132).

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

23114368 is an equidigital number, since it uses as much as digits as its factorization.

23114368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2120 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 23114368 is about 4807.7404256054. The cubic root of 23114368 is about 284.8572918449.

The spelling of 23114368 in words is "twenty-three million, one hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2029 2848 4058 5696 8116 11392 16232 32464 64928 129856 180581 259712 361162 722324 1444648 2889296 5778592 11557184 23114368