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23379002160 = 24353125712227
BaseRepresentation
bin10101110001011111…
…110100001100110000
32020100022201100210220
4111301133310030300
5340340011032120
614423513053040
71455232145103
oct256137641460
966308640726
1023379002160
119a07923398
1246456b7180
13228775b0b7
1411bad8873a
1591c726b40
hex5717f4330

23379002160 has 160 divisors (see below), whose sum is σ = 75110049792. Its totient is φ = 6009323520.

The previous prime is 23379002147. The next prime is 23379002161. The reversal of 23379002160 is 6120097332.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23379002161) 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, 1905967 + ... + 1918193.

Almost surely, 223379002160 is an apocalyptic number.

23379002160 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 23379002160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37555024896).

23379002160 is an abundant number, since it is smaller than the sum of its proper divisors (51731047632).

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

23379002160 is a wasteful number, since it uses less digits than its factorization.

23379002160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12531 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

Adding to 23379002160 its reverse (6120097332), we get a palindrome (29499099492).

The spelling of 23379002160 in words is "twenty-three billion, three hundred seventy-nine million, two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 257 310 372 465 496 514 620 744 771 930 1028 1240 1285 1488 1542 1860 2056 2480 2570 3084 3720 3855 4112 5140 6168 7440 7710 7967 10280 12227 12336 15420 15934 20560 23901 24454 30840 31868 36681 39835 47802 48908 61135 61680 63736 73362 79670 95604 97816 119505 122270 127472 146724 159340 183405 191208 195632 239010 244540 293448 318680 366810 379037 382416 478020 489080 586896 637360 733620 758074 956040 978160 1137111 1467240 1516148 1895185 1912080 2274222 2934480 3032296 3142339 3790370 4548444 5685555 6064592 6284678 7580740 9096888 9427017 11371110 12569356 15161480 15711695 18193776 18854034 22742220 25138712 30322960 31423390 37708068 45484440 47135085 50277424 62846780 75416136 90968880 94270170 97412509 125693560 150832272 188540340 194825018 251387120 292237527 377080680 389650036 487062545 584475054 754161360 779300072 974125090 1168950108 1461187635 1558600144 1948250180 2337900216 2922375270 3896500360 4675800432 5844750540 7793000720 11689501080 23379002160