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23350404240 = 24325112328879
BaseRepresentation
bin10101101111110010…
…101110010010010000
32020021022220102211200
4111233302232102100
5340310200413430
614421012111200
71454434106202
oct255762562220
966238812750
1023350404240
1199a2770349
124638005500
132281857357
1411b7262772
15919e78460
hex56fcae490

23350404240 has 120 divisors (see below), whose sum is σ = 78490988160. Its totient is φ = 6221014272.

The previous prime is 23350404229. The next prime is 23350404271. The reversal of 23350404240 is 4240405332.

23350404240 is a `hidden beast` number, since 233 + 5 + 0 + 4 + 0 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794121 + ... + 822999.

It is an arithmetic number, because the mean of its divisors is an integer number (654091568).

Almost surely, 223350404240 is an apocalyptic number.

23350404240 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 23350404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39245494080).

23350404240 is an abundant number, since it is smaller than the sum of its proper divisors (55140583920).

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

23350404240 is a wasteful number, since it uses less digits than its factorization.

23350404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30021 (or 30012 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 23350404240 its reverse (4240405332), we get a palindrome (27590809572).

The spelling of 23350404240 in words is "twenty-three billion, three hundred fifty million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1123 2246 3369 4492 5615 6738 8984 10107 11230 13476 16845 17968 20214 22460 26952 28879 33690 40428 44920 50535 53904 57758 67380 80856 86637 89840 101070 115516 134760 144395 161712 173274 202140 231032 259911 269520 288790 346548 404280 433185 462064 519822 577580 693096 808560 866370 1039644 1155160 1299555 1386192 1732740 2079288 2310320 2599110 3465480 4158576 5198220 6930960 10396440 20792880 32431117 64862234 97293351 129724468 162155585 194586702 259448936 291880053 324311170 389173404 486466755 518897872 583760106 648622340 778346808 972933510 1167520212 1297244680 1459400265 1556693616 1945867020 2335040424 2594489360 2918800530 3891734040 4670080848 5837601060 7783468080 11675202120 23350404240