Search a number
-
+
23295700 = 2252292277
BaseRepresentation
bin101100011011…
…1011011010100
31121211112200201
41120313123110
521430430300
62151150244
7402003331
oct130673324
947745621
1023295700
111217144a
127975384
134a9854c
143145988
1520a266a
hex16376d4

23295700 has 54 divisors (see below), whose sum is σ = 52543946. Its totient is φ = 8964480.

The previous prime is 23295677. The next prime is 23295707. The reversal of 23295700 is 759232.

It can be written as a sum of positive squares in 9 ways, for example, as 9412624 + 13883076 = 3068^2 + 3726^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23295707) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83962 + ... + 84238.

Almost surely, 223295700 is an apocalyptic number.

23295700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23295700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26271973).

23295700 is an abundant number, since it is smaller than the sum of its proper divisors (29248246).

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

23295700 is a wasteful number, since it uses less digits than its factorization.

23295700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 23295700 is about 4826.5619233570. The cubic root of 23295700 is about 285.6002533037.

The spelling of 23295700 in words is "twenty-three million, two hundred ninety-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 277 290 554 580 725 841 1108 1385 1450 1682 2770 2900 3364 4205 5540 6925 8033 8410 13850 16066 16820 21025 27700 32132 40165 42050 80330 84100 160660 200825 232957 401650 465914 803300 931828 1164785 2329570 4659140 5823925 11647850 23295700