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23221411320 = 23358310912137
BaseRepresentation
bin10101101000000110…
…101001110111111000
32012221100011220211010
4111220012221313320
5340024140130240
614400123233520
71451306511432
oct255006516770
965840156733
1023221411320
119936977028
1246009788a0
132260c02093
1411a4085652
1590d998280
hex5681a9df8

23221411320 has 128 divisors (see below), whose sum is σ = 70601207040. Its totient is φ = 6109301760.

The previous prime is 23221411277. The next prime is 23221411327. The reversal of 23221411320 is 2311412232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23221411327) 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, 10865292 + ... + 10867428.

It is an arithmetic number, because the mean of its divisors is an integer number (551571930).

Almost surely, 223221411320 is an apocalyptic number.

23221411320 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 23221411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35300603520).

23221411320 is an abundant number, since it is smaller than the sum of its proper divisors (47379795720).

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

23221411320 is a wasteful number, since it uses less digits than its factorization.

23221411320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 23221411320 its reverse (2311412232), we get a palindrome (25532823552).

The spelling of 23221411320 in words is "twenty-three billion, two hundred twenty-one million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1091 1245 1660 1992 2137 2182 2490 3273 3320 4274 4364 4980 5455 6411 6546 8548 8728 9960 10685 10910 12822 13092 16365 17096 21370 21820 25644 26184 32055 32730 42740 43640 51288 64110 65460 85480 90553 128220 130920 177371 181106 256440 271659 354742 362212 452765 532113 543318 709484 724424 886855 905530 1064226 1086636 1358295 1418968 1773710 1811060 2128452 2173272 2331467 2660565 2716590 3547420 3622120 4256904 4662934 5321130 5433180 6994401 7094840 9325868 10642260 10866360 11657335 13988802 18651736 21284520 23314670 27977604 34972005 46629340 55955208 69944010 93258680 139888020 193511761 279776040 387023522 580535283 774047044 967558805 1161070566 1548094088 1935117610 2322141132 2902676415 3870235220 4644282264 5805352830 7740470440 11610705660 23221411320