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23244214020 = 22351633796271
BaseRepresentation
bin10101101001011101…
…101000111100000100
32012222221002102020120
4111221131220330010
5340101004322040
614402300101540
71452004362546
oct255135507404
965887072216
1023244214020
119948831035
1246085348b0
1322658570c1
1411a70dd696
1591099e7d0
hex569768f04

23244214020 has 96 divisors (see below), whose sum is σ = 65666334720. Its totient is φ = 6143195520.

The previous prime is 23244214001. The next prime is 23244214027. The reversal of 23244214020 is 2041244232.

It is not an unprimeable number, because it can be changed into a prime (23244214027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3703485 + ... + 3709755.

It is an arithmetic number, because the mean of its divisors is an integer number (684024320).

Almost surely, 223244214020 is an apocalyptic number.

23244214020 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 23244214020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32833167360).

23244214020 is an abundant number, since it is smaller than the sum of its proper divisors (42422120700).

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

23244214020 is a wasteful number, since it uses less digits than its factorization.

23244214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825 (or 6823 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23244214020 its reverse (2041244232), we get a palindrome (25285458252).

The spelling of 23244214020 in words is "twenty-three billion, two hundred forty-four million, two hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 379 489 652 758 815 978 1137 1516 1630 1895 1956 2274 2445 3260 3790 4548 4890 5685 6271 7580 9780 11370 12542 18813 22740 25084 31355 37626 61777 62710 75252 94065 123554 125420 185331 188130 247108 308885 370662 376260 617770 741324 926655 1022173 1235540 1853310 2044346 2376709 3066519 3706620 4088692 4753418 5110865 6133038 7130127 9506836 10221730 11883545 12266076 14260254 15332595 20443460 23767090 28520508 30665190 35650635 47534180 61330380 71301270 142602540 387403567 774807134 1162210701 1549614268 1937017835 2324421402 3874035670 4648842804 5811053505 7748071340 11622107010 23244214020