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23193460 = 22510611093
BaseRepresentation
bin101100001111…
…0011101110100
31121122100110001
41120132131310
521414142320
62145041044
7401066263
oct130363564
947570401
1023193460
1112101654
127926184
134a60b54
14311a5da
15208220a
hex161e774

23193460 has 24 divisors (see below), whose sum is σ = 48796776. Its totient is φ = 9260160.

The previous prime is 23193451. The next prime is 23193463. The reversal of 23193460 is 6439132.

It can be written as a sum of positive squares in 4 ways, for example, as 10419984 + 12773476 = 3228^2 + 3574^2 .

It is a super-4 number, since 4×231934604 (a number of 31 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23193463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20674 + ... + 21766.

It is an arithmetic number, because the mean of its divisors is an integer number (2033199).

Almost surely, 223193460 is an apocalyptic number.

23193460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23193460 is an abundant number, since it is smaller than the sum of its proper divisors (25603316).

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

23193460 is a wasteful number, since it uses less digits than its factorization.

23193460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 23193460 is about 4815.9588868677. The cubic root of 23193460 is about 285.1818271334.

It can be divided in two parts, 23193 and 460, that added together give a triangular number (23653 = T217).

The spelling of 23193460 in words is "twenty-three million, one hundred ninety-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 1061 1093 2122 2186 4244 4372 5305 5465 10610 10930 21220 21860 1159673 2319346 4638692 5798365 11596730 23193460