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23371220 = 225232472
BaseRepresentation
bin101100100100…
…1110111010100
31121222101021202
41121021313110
521440334340
62152532032
7402436445
oct131116724
947871252
1023371220
1112213164
1279b1018
134ac3a32
1431652cc
1520b9c15
hex1649dd4

23371220 has 54 divisors (see below), whose sum is σ = 52421082. Its totient is φ = 8751776.

The previous prime is 23371219. The next prime is 23371237. The reversal of 23371220 is 2217332.

It can be written as a sum of positive squares in only one way, i.e., 18696976 + 4674244 = 4324^2 + 2162^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23371192 and 23371201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 497237 + ... + 497283.

Almost surely, 223371220 is an apocalyptic number.

23371220 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 23371220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26210541).

23371220 is an abundant number, since it is smaller than the sum of its proper divisors (29049862).

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

23371220 is a wasteful number, since it uses less digits than its factorization.

23371220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 23371220 is about 4834.3789673545. The cubic root of 23371220 is about 285.9085400413.

Multiplying 23371220 by its sum of digits (20), we get a square (467424400 = 216202).

23371220 divided by its sum of digits (20) gives a square (1168561 = 10812).

Adding to 23371220 its reverse (2217332), we get a palindrome (25588552).

The spelling of 23371220 in words is "twenty-three million, three hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 529 940 1058 1081 2116 2162 2209 2645 4324 4418 5290 5405 8836 10580 10810 11045 21620 22090 24863 44180 49726 50807 99452 101614 124315 203228 248630 254035 497260 508070 1016140 1168561 2337122 4674244 5842805 11685610 23371220