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23201940 = 22351723243
BaseRepresentation
bin101100010000…
…0100010010100
31121122210002010
41120200202110
521414430230
62145144220
7401133066
oct130404224
947583063
1023201940
1112107a63
12792b070
134a64978
14311d736
1520849b0
hex1620894

23201940 has 144 divisors (see below), whose sum is σ = 73579968. Its totient is φ = 5440512.

The previous prime is 23201939. The next prime is 23201947. The reversal of 23201940 is 4910232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201947) 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, 539559 + ... + 539601.

It is an arithmetic number, because the mean of its divisors is an integer number (510972).

Almost surely, 223201940 is an apocalyptic number.

23201940 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 23201940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36789984).

23201940 is an abundant number, since it is smaller than the sum of its proper divisors (50378028).

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

23201940 is a wasteful number, since it uses less digits than its factorization.

23201940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 23201940 is about 4816.8392125957. The cubic root of 23201940 is about 285.2165789877.

The spelling of 23201940 in words is "twenty-three million, two hundred one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 43 46 51 60 68 69 85 86 92 102 115 129 138 170 172 204 215 230 255 258 276 340 345 391 430 460 510 516 529 645 690 731 782 860 989 1020 1058 1173 1290 1380 1462 1564 1587 1955 1978 2116 2193 2346 2580 2645 2924 2967 3174 3655 3910 3956 4386 4692 4945 5290 5865 5934 6348 7310 7820 7935 8772 8993 9890 10580 10965 11730 11868 14620 14835 15870 16813 17986 19780 21930 22747 23460 26979 29670 31740 33626 35972 43860 44965 45494 50439 53958 59340 67252 68241 84065 89930 90988 100878 107916 113735 134895 136482 168130 179860 201756 227470 252195 269790 272964 336260 341205 386699 454940 504390 539580 682410 773398 1008780 1160097 1364820 1546796 1933495 2320194 3866990 4640388 5800485 7733980 11600970 23201940