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23000220 = 22335191223
BaseRepresentation
bin101011110111…
…1010010011100
31121021112101000
41113233102130
521342001340
62140550300
7366333015
oct127572234
947245330
1023000220
1111a8a451
127852390
1349c3bc9
1430aa00c
152044d30
hex15ef49c

23000220 has 96 divisors (see below), whose sum is σ = 72253440. Its totient is φ = 6073920.

The previous prime is 23000189. The next prime is 23000261. The reversal of 23000220 is 2200032.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103029 + ... + 103251.

It is an arithmetic number, because the mean of its divisors is an integer number (752640).

Almost surely, 223000220 is an apocalyptic number.

23000220 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 23000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36126720).

23000220 is an abundant number, since it is smaller than the sum of its proper divisors (49253220).

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

23000220 is a wasteful number, since it uses less digits than its factorization.

23000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 23000220 is about 4795.8544598434. The cubic root of 23000220 is about 284.3876047225.

Adding to 23000220 its reverse (2200032), we get a palindrome (25200252).

It can be divided in two parts, 23000 and 220, that added together give a triangular number (23220 = T215).

The spelling of 23000220 in words is "twenty-three million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 191 223 270 382 446 540 573 669 764 892 955 1115 1146 1338 1719 1910 2007 2230 2292 2676 2865 3345 3438 3820 4014 4460 5157 5730 6021 6690 6876 8028 8595 10035 10314 11460 12042 13380 17190 20070 20628 24084 25785 30105 34380 40140 42593 51570 60210 85186 103140 120420 127779 170372 212965 255558 383337 425930 511116 638895 766674 851860 1150011 1277790 1533348 1916685 2300022 2555580 3833370 4600044 5750055 7666740 11500110 23000220