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23230312200 = 233252122910501
BaseRepresentation
bin10101101000101000…
…100110111100001000
32012221221221010112100
4111220220212330020
5340033424442300
614401042113400
71451445252504
oct255050467410
965857833470
1023230312200
1199409a6427
12460394b860
1322629ca584
1411a5321304
1590e655700
hex568a26f08

23230312200 has 144 divisors (see below), whose sum is σ = 78086045700. Its totient is φ = 6189120000.

The previous prime is 23230312187. The next prime is 23230312213. The reversal of 23230312200 is 221303232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23230312187) and next prime (23230312213).

It can be written as a sum of positive squares in 6 ways, for example, as 13645510596 + 9584801604 = 116814^2 + 97902^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2206950 + ... + 2217450.

Almost surely, 223230312200 is an apocalyptic number.

23230312200 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 23230312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39043022850).

23230312200 is an abundant number, since it is smaller than the sum of its proper divisors (54855733500).

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

23230312200 is a wasteful number, since it uses less digits than its factorization.

23230312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11752 (or 11740 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23230312200 its reverse (221303232), we get a palindrome (23451615432).

The spelling of 23230312200 in words is "twenty-three billion, two hundred thirty million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1229 1800 2458 3687 4916 6145 7374 9832 10501 11061 12290 14748 18435 21002 22122 24580 29496 30725 31503 36870 42004 44244 49160 52505 55305 61450 63006 73740 84008 88488 92175 94509 105010 110610 122900 126012 147480 157515 184350 189018 210020 221220 245800 252024 262525 276525 315030 368700 378036 420040 442440 472545 525050 553050 630060 737400 756072 787575 945090 1050100 1106100 1260120 1575150 1890180 2100200 2212200 2362725 3150300 3780360 4725450 6300600 9450900 12905729 18901800 25811458 38717187 51622916 64528645 77434374 103245832 116151561 129057290 154868748 193585935 232303122 258114580 309737496 322643225 387171870 464606244 516229160 580757805 645286450 774343740 929212488 967929675 1161515610 1290572900 1548687480 1935859350 2323031220 2581145800 2903789025 3871718700 4646062440 5807578050 7743437400 11615156100 23230312200