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23314140 = 223251719401
BaseRepresentation
bin101100011101…
…1111011011100
31121212110222200
41120323323130
521432023030
62151411500
7402111153
oct130737334
947773880
1023314140
1112184293
127983b90
134aa3a65
14314c59a
1520a7d60
hex163bedc

23314140 has 144 divisors (see below), whose sum is σ = 79017120. Its totient is φ = 5529600.

The previous prime is 23314129. The next prime is 23314141. The reversal of 23314140 is 4141332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23314141) 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, 57940 + ... + 58340.

It is an arithmetic number, because the mean of its divisors is an integer number (548730).

Almost surely, 223314140 is an apocalyptic number.

23314140 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 23314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39508560).

23314140 is an abundant number, since it is smaller than the sum of its proper divisors (55702980).

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

23314140 is a wasteful number, since it uses less digits than its factorization.

23314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23314140 is about 4828.4718079326. The cubic root of 23314140 is about 285.6755902357.

Adding to 23314140 its reverse (4141332), we get a palindrome (27455472).

The spelling of 23314140 in words is "twenty-three million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 401 510 570 612 646 684 765 802 855 969 1020 1140 1203 1292 1530 1604 1615 1710 1938 2005 2406 2907 3060 3230 3420 3609 3876 4010 4812 4845 5814 6015 6460 6817 7218 7619 8020 9690 11628 12030 13634 14436 14535 15238 18045 19380 20451 22857 24060 27268 29070 30476 34085 36090 38095 40902 45714 58140 61353 68170 68571 72180 76190 81804 91428 102255 114285 122706 129523 136340 137142 152380 204510 228570 245412 259046 274284 306765 342855 388569 409020 457140 518092 613530 647615 685710 777138 1165707 1227060 1295230 1371420 1554276 1942845 2331414 2590460 3885690 4662828 5828535 7771380 11657070 23314140