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23198880 = 2535172843
BaseRepresentation
bin101100001111…
…1110010100000
31121122121212210
41120133302200
521414331010
62145122120
7401121135
oct130376240
947577783
1023198880
1112105731
127929340
134a63463
14311c58c
152083b20
hex161fca0

23198880 has 96 divisors (see below), whose sum is σ = 77402304. Its totient is φ = 5820416.

The previous prime is 23198873. The next prime is 23198891. The reversal of 23198880 is 8889132.

It is a tau number, because it is divible by the number of its divisors (96).

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, 6739 + ... + 9581.

It is an arithmetic number, because the mean of its divisors is an integer number (806274).

Almost surely, 223198880 is an apocalyptic number.

23198880 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 23198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38701152).

23198880 is an abundant number, since it is smaller than the sum of its proper divisors (54203424).

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

23198880 is a wasteful number, since it uses less digits than its factorization.

23198880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 23198880 is about 4816.5215664419. The cubic root of 23198880 is about 285.2040397905.

The spelling of 23198880 in words is "twenty-three million, one hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 2843 4080 5686 8160 8529 11372 14215 17058 22744 28430 34116 42645 45488 48331 56860 68232 85290 90976 96662 113720 136464 144993 170580 193324 227440 241655 272928 289986 341160 386648 454880 483310 579972 682320 724965 773296 966620 1159944 1364640 1449930 1546592 1933240 2319888 2899860 3866480 4639776 5799720 7732960 11599440 23198880