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23220330030 = 23256710193779
BaseRepresentation
bin10101101000000010…
…100001111000101110
32012221021010222120100
4111220002201320232
5340023401030110
614400044131530
71451264356122
oct255002417056
965837128510
1023220330030
1199362a86a7
124600536ba6
132260913b71
1411a3c83582
1590d832bc0
hex5680a1e2e

23220330030 has 96 divisors (see below), whose sum is σ = 61350307200. Its totient is φ = 6092070336.

The previous prime is 23220330017. The next prime is 23220330031. The reversal of 23220330030 is 3003302232.

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

It is a junction number, because it is equal to n+sod(n) for n = 23220329985 and 23220330012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23220330031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6142681 + ... + 6146459.

It is an arithmetic number, because the mean of its divisors is an integer number (639065700).

Almost surely, 223220330030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23220330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30675153600).

23220330030 is an abundant number, since it is smaller than the sum of its proper divisors (38129977170).

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

23220330030 is a wasteful number, since it uses less digits than its factorization.

23220330030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23220330030 its reverse (3003302232), we get a palindrome (26223632262).

The spelling of 23220330030 in words is "twenty-three billion, two hundred twenty million, three hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1019 1206 2010 2038 3015 3057 3779 5095 6030 6114 7558 9171 10190 11337 15285 18342 18895 22674 30570 34011 37790 45855 56685 68022 68273 91710 113370 136546 170055 204819 253193 340110 341365 409638 506386 614457 682730 759579 1024095 1228914 1265965 1519158 2048190 2278737 2531930 3072285 3797895 3850801 4557474 6144570 7595790 7701602 11393685 11552403 19254005 22787370 23104806 34657209 38508010 57762015 69314418 115524030 173286045 258003667 346572090 516007334 774011001 1290018335 1548022002 2322033003 2580036670 3870055005 4644066006 7740110010 11610165015 23220330030