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23003230200 = 23352172122277
BaseRepresentation
bin10101011011000110…
…010110111111111000
32012101010122011120220
4111123012112333320
5334102311331300
614322331020040
71443020142036
oct253306267770
965333564526
1023003230200
1198347a6355
12455b89a620
132227950522
1411830cd556
158e974bda0
hex55b196ff8

23003230200 has 96 divisors (see below), whose sum is σ = 71354651760. Its totient is φ = 6130355200.

The previous prime is 23003230169. The next prime is 23003230207. The reversal of 23003230200 is 203230032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23003230200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003230207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021462 + ... + 1043738.

Almost surely, 223003230200 is an apocalyptic number.

23003230200 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 23003230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35677325880).

23003230200 is an abundant number, since it is smaller than the sum of its proper divisors (48351421560).

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

23003230200 is a wasteful number, since it uses less digits than its factorization.

23003230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24017 (or 24008 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 23003230200 its reverse (203230032), we get a palindrome (23206460232).

The spelling of 23003230200 in words is "twenty-three billion, three million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1721 3442 5163 6884 8605 10326 13768 17210 20652 22277 25815 34420 41304 43025 44554 51630 66831 68840 86050 89108 103260 111385 129075 133662 172100 178216 206520 222770 258150 267324 334155 344200 445540 516300 534648 556925 668310 891080 1032600 1113850 1336620 1670775 2227700 2673240 3341550 4455400 6683100 13366200 38338717 76677434 115016151 153354868 191693585 230032302 306709736 383387170 460064604 575080755 766774340 920129208 958467925 1150161510 1533548680 1916935850 2300323020 2875403775 3833871700 4600646040 5750807550 7667743400 11501615100 23003230200