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23217240 = 23351719599
BaseRepresentation
bin101100010010…
…0010001011000
31121200120001210
41120210101120
521420422430
62145343120
7401225514
oct130442130
947616053
1023217240
1112118502
127937aa0
134a6b917
143125144
1520892b0
hex1624458

23217240 has 128 divisors (see below), whose sum is σ = 77760000. Its totient is φ = 5511168.

The previous prime is 23217211. The next prime is 23217247. The reversal of 23217240 is 4271232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23217247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38461 + ... + 39059.

It is an arithmetic number, because the mean of its divisors is an integer number (607500).

Almost surely, 223217240 is an apocalyptic number.

23217240 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 23217240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880000).

23217240 is an abundant number, since it is smaller than the sum of its proper divisors (54542760).

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

23217240 is a wasteful number, since it uses less digits than its factorization.

23217240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 23217240 is about 4818.4271292612. The cubic root of 23217240 is about 285.2792584418.

Adding to 23217240 its reverse (4271232), we get a palindrome (27488472).

The spelling of 23217240 in words is "twenty-three million, two hundred seventeen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 380 408 456 510 570 599 646 680 760 969 1020 1140 1198 1292 1615 1797 1938 2040 2280 2396 2584 2995 3230 3594 3876 4792 4845 5990 6460 7188 7752 8985 9690 10183 11381 11980 12920 14376 17970 19380 20366 22762 23960 30549 34143 35940 38760 40732 45524 50915 56905 61098 68286 71880 81464 91048 101830 113810 122196 136572 152745 170715 193477 203660 227620 244392 273144 305490 341430 386954 407320 455240 580431 610980 682860 773908 967385 1160862 1221960 1365720 1547816 1934770 2321724 2902155 3869540 4643448 5804310 7739080 11608620 23217240