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23205140 = 2257831997
BaseRepresentation
bin101100010000…
…1010100010100
31121122221110122
41120201110110
521420031030
62145211112
7401145320
oct130412424
947587418
1023205140
111210a402
127930a98
134a6626a
143120980
1520858e5
hex1621514

23205140 has 48 divisors (see below), whose sum is σ = 56391552. Its totient is φ = 7856256.

The previous prime is 23205109. The next prime is 23205181. The reversal of 23205140 is 4150232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10622 + ... + 12618.

It is an arithmetic number, because the mean of its divisors is an integer number (1174824).

Almost surely, 223205140 is an apocalyptic number.

23205140 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 23205140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28195776).

23205140 is an abundant number, since it is smaller than the sum of its proper divisors (33186412).

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

23205140 is a wasteful number, since it uses less digits than its factorization.

23205140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 23205140 is about 4817.1713691751. The cubic root of 23205140 is about 285.2296906944.

Adding to 23205140 its reverse (4150232), we get a palindrome (27355372).

The spelling of 23205140 in words is "twenty-three million, two hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 1997 2324 2905 3994 5810 7988 9985 11620 13979 19970 27958 39940 55916 69895 139790 165751 279580 331502 663004 828755 1160257 1657510 2320514 3315020 4641028 5801285 11602570 23205140