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23322230200 = 23521922926801
BaseRepresentation
bin10101101110000111…
…001111110110111000
32020012100220001022201
4111232013033312320
5340230442331300
614414124155544
71453642454143
oct255607176670
966170801281
1023322230200
119988877815
12462a698bb4
132278a71519
1411b360b05a
1591776066a
hex56e1cfdb8

23322230200 has 96 divisors (see below), whose sum is σ = 57329478000. Its totient is φ = 8798976000.

The previous prime is 23322230179. The next prime is 23322230201. The reversal of 23322230200 is 203222332.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322230201) 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, 856800 + ... + 883600.

Almost surely, 223322230200 is an apocalyptic number.

23322230200 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 23322230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28664739000).

23322230200 is an abundant number, since it is smaller than the sum of its proper divisors (34007247800).

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

23322230200 is a wasteful number, since it uses less digits than its factorization.

23322230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27065 (or 27056 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 23322230200 its reverse (203222332), we get a palindrome (23525452532).

The spelling of 23322230200 in words is "twenty-three billion, three hundred twenty-two million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 229 380 458 475 760 916 950 1145 1832 1900 2290 3800 4351 4580 5725 8702 9160 11450 17404 21755 22900 26801 34808 43510 45800 53602 87020 107204 108775 134005 174040 214408 217550 268010 435100 509219 536020 670025 870200 1018438 1072040 1340050 2036876 2546095 2680100 4073752 5092190 5360200 6137429 10184380 12274858 12730475 20368760 24549716 25460950 30687145 49099432 50921900 61374290 101843800 116611151 122748580 153435725 233222302 245497160 306871450 466444604 583055755 613742900 932889208 1166111510 1227485800 2332223020 2915278775 4664446040 5830557550 11661115100 23322230200