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23432220 = 2233576199
BaseRepresentation
bin101100101100…
…0110000011100
31122002110222000
41121120300130
521444312340
62154122300
7403112340
oct131306034
948073860
1023432220
1112254a79
127a20390
134b15726
14317d620
1520ccd30
hex1658c1c

23432220 has 96 divisors (see below), whose sum is σ = 83328000. Its totient is φ = 5355072.

The previous prime is 23432219. The next prime is 23432237. The reversal of 23432220 is 2223432.

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 = 23432193 and 23432202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681 + ... + 6879.

It is an arithmetic number, because the mean of its divisors is an integer number (868000).

Almost surely, 223432220 is an apocalyptic number.

23432220 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 23432220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664000).

23432220 is an abundant number, since it is smaller than the sum of its proper divisors (59895780).

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

23432220 is a wasteful number, since it uses less digits than its factorization.

23432220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23432220 is about 4840.6838359885. The cubic root of 23432220 is about 286.1570689223.

Adding to 23432220 its reverse (2223432), we get a palindrome (25655652).

The spelling of 23432220 in words is "twenty-three million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 6199 12398 18597 24796 30995 37194 43393 55791 61990 74388 86786 92985 111582 123980 130179 167373 173572 185970 216965 223164 260358 278955 334746 371940 390537 433930 520716 557910 650895 669492 781074 836865 867860 1115820 1171611 1301790 1562148 1673730 1952685 2343222 2603580 3347460 3905370 4686444 5858055 7810740 11716110 23432220