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23345140 = 225713101127
BaseRepresentation
bin101100100001…
…1011111110100
31121221001111211
41121003133310
521434021030
62152211204
7402300430
oct131033764
947831454
1023345140
11121a5605
127999b04
134ab4bc0
1431599c0
1520b212a
hex16437f4

23345140 has 96 divisors (see below), whose sum is σ = 61415424. Its totient is φ = 7257600.

The previous prime is 23345137. The next prime is 23345141. The reversal of 23345140 is 4154332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23345141) 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, 183757 + ... + 183883.

It is an arithmetic number, because the mean of its divisors is an integer number (639744).

Almost surely, 223345140 is an apocalyptic number.

23345140 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 23345140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30707712).

23345140 is an abundant number, since it is smaller than the sum of its proper divisors (38070284).

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

23345140 is a wasteful number, since it uses less digits than its factorization.

23345140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 23345140 is about 4831.6808669448. The cubic root of 23345140 is about 285.8021517852.

Adding to 23345140 its reverse (4154332), we get a palindrome (27499472).

The spelling of 23345140 in words is "twenty-three million, three hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 101 127 130 140 182 202 254 260 364 404 455 505 508 635 707 889 910 1010 1270 1313 1414 1651 1778 1820 2020 2540 2626 2828 3302 3535 3556 4445 5252 6565 6604 7070 8255 8890 9191 11557 12827 13130 14140 16510 17780 18382 23114 25654 26260 33020 36764 45955 46228 51308 57785 64135 89789 91910 115570 128270 166751 179578 183820 231140 256540 333502 359156 448945 667004 833755 897890 1167257 1667510 1795780 2334514 3335020 4669028 5836285 11672570 23345140