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23201220 = 22357371493
BaseRepresentation
bin101100010000…
…0010111000100
31121122202002110
41120200113010
521414414340
62145141020
7401131020
oct130402704
947582073
1023201220
1112107469
12792a770
134a64543
14311d380
152084680
hex16205c4

23201220 has 96 divisors (see below), whose sum is σ = 76301568. Its totient is φ = 5156352.

The previous prime is 23201197. The next prime is 23201251. The reversal of 23201220 is 2210232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 23201196 and 23201205.

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, 14794 + ... + 16286.

It is an arithmetic number, because the mean of its divisors is an integer number (794808).

Almost surely, 223201220 is an apocalyptic number.

23201220 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 23201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38150784).

23201220 is an abundant number, since it is smaller than the sum of its proper divisors (53100348).

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

23201220 is a wasteful number, since it uses less digits than its factorization.

23201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 23201220 is about 4816.7644742088. The cubic root of 23201220 is about 285.2136286875.

Adding to 23201220 its reverse (2210232), we get a palindrome (25411452).

The spelling of 23201220 in words is "twenty-three million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1493 1554 2220 2590 2986 3108 3885 4479 5180 5972 7465 7770 8958 10451 14930 15540 17916 20902 22395 29860 31353 41804 44790 52255 55241 62706 89580 104510 110482 125412 156765 165723 209020 220964 276205 313530 331446 386687 552410 627060 662892 773374 828615 1104820 1160061 1546748 1657230 1933435 2320122 3314460 3866870 4640244 5800305 7733740 11600610 23201220