Search a number
-
+
23289700 = 22527497
BaseRepresentation
bin101100011010…
…1111101100100
31121211020110111
41120311331210
521430232300
62151102404
7401650000
oct130657544
947736414
1023289700
1112167995
127971a04
134a958b5
143143700
1520a09ba
hex1635f64

23289700 has 90 divisors (see below), whose sum is σ = 59566066. Its totient is φ = 7902720.

The previous prime is 23289689. The next prime is 23289767. The reversal of 23289700 is 798232.

It can be written as a sum of positive squares in 3 ways, for example, as 1162084 + 22127616 = 1078^2 + 4704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 240052 + ... + 240148.

Almost surely, 223289700 is an apocalyptic number.

23289700 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 23289700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29783033).

23289700 is an abundant number, since it is smaller than the sum of its proper divisors (36276366).

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

23289700 is an equidigital number, since it uses as much as digits as its factorization.

23289700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 23289700 is about 4825.9403228801. The cubic root of 23289700 is about 285.5757316301.

The spelling of 23289700 in words is "twenty-three million, two hundred eighty-nine thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 97 98 100 140 175 194 196 245 343 350 388 485 490 679 686 700 970 980 1225 1358 1372 1715 1940 2401 2425 2450 2716 3395 3430 4753 4802 4850 4900 6790 6860 8575 9506 9604 9700 12005 13580 16975 17150 19012 23765 24010 33271 33950 34300 47530 48020 60025 66542 67900 95060 118825 120050 133084 166355 232897 237650 240100 332710 465794 475300 665420 831775 931588 1164485 1663550 2328970 3327100 4657940 5822425 11644850 23289700