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23254420 = 2257261389
BaseRepresentation
bin101100010110…
…1010110010100
31121202110001211
41120231112110
521423120140
62150231204
7401442100
oct130552624
947673054
1023254420
1112143432
127955504
134a82817
143134900
1520952ea
hex162d594

23254420 has 72 divisors (see below), whose sum is σ = 57886920. Its totient is φ = 7822080.

The previous prime is 23254411. The next prime is 23254447. The reversal of 23254420 is 2445232.

It can be written as a sum of positive squares in 4 ways, for example, as 329476 + 22924944 = 574^2 + 4788^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23254391 and 23254400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59586 + ... + 59974.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 223254420 is an apocalyptic number.

23254420 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 23254420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28943460).

23254420 is an abundant number, since it is smaller than the sum of its proper divisors (34632500).

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

23254420 is a wasteful number, since it uses less digits than its factorization.

23254420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 23254420 is about 4822.2836913645. The cubic root of 23254420 is about 285.4314589334.

Adding to 23254420 its reverse (2445232), we get a palindrome (25699652).

The spelling of 23254420 in words is "twenty-three million, two hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 389 427 490 610 778 854 980 1220 1556 1708 1945 2135 2723 2989 3890 4270 5446 5978 7780 8540 10892 11956 13615 14945 19061 23729 27230 29890 38122 47458 54460 59780 76244 94916 95305 118645 166103 190610 237290 332206 381220 474580 664412 830515 1162721 1661030 2325442 3322060 4650884 5813605 11627210 23254420