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23321313240 = 23352234571907
BaseRepresentation
bin10101101110000011…
…101111111111011000
32020012022011110111020
4111232003233333120
5340230224010430
614414052402440
71453631614611
oct255603577730
966168143436
1023321313240
1199883008a5
12462a316420
132278810044
1411b344cc08
1591762db10
hex56e0effd8

23321313240 has 128 divisors (see below), whose sum is σ = 70468392960. Its totient is φ = 6174342144.

The previous prime is 23321313187. The next prime is 23321313247. The reversal of 23321313240 is 4231312332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23321313240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23321313247) 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, 12228367 + ... + 12230273.

It is an arithmetic number, because the mean of its divisors is an integer number (550534320).

Almost surely, 223321313240 is an apocalyptic number.

23321313240 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 23321313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35234196480).

23321313240 is an abundant number, since it is smaller than the sum of its proper divisors (47147079720).

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

23321313240 is a wasteful number, since it uses less digits than its factorization.

23321313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23321313240 its reverse (4231312332), we get a palindrome (27552625572).

The spelling of 23321313240 in words is "twenty-three billion, three hundred twenty-one million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 457 669 892 914 1115 1338 1371 1784 1828 1907 2230 2285 2676 2742 3345 3656 3814 4460 4570 5352 5484 5721 6690 6855 7628 8920 9140 9535 10968 11442 13380 13710 15256 18280 19070 22884 26760 27420 28605 38140 45768 54840 57210 76280 101911 114420 203822 228840 305733 407644 425261 509555 611466 815288 850522 871499 1019110 1222932 1275783 1528665 1701044 1742998 2038220 2126305 2445864 2551566 2614497 3057330 3402088 3485996 4076440 4252610 4357495 5103132 5228994 6114660 6378915 6971992 8505220 8714990 10206264 10457988 12229320 12757830 13072485 17010440 17429980 20915976 25515660 26144970 34859960 51031320 52289940 104579880 194344277 388688554 583032831 777377108 971721385 1166065662 1554754216 1943442770 2332131324 2915164155 3886885540 4664262648 5830328310 7773771080 11660656620 23321313240