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215100240520 = 235111831266993
BaseRepresentation
bin1100100001010011111…
…0010011001010001000
3202120012201001101022211
43020110332103022020
512011011130144040
6242452104354504
721353245606564
oct3102476231210
9676181041284
10215100240520
1183250529420
1235830775a34
131738c864339
14a5a775a6a4
1558dde898ea
hex3214f93288

215100240520 has 64 divisors (see below), whose sum is σ = 528263648640. Its totient is φ = 78175257600.

The previous prime is 215100240503. The next prime is 215100240569. The reversal of 215100240520 is 25042001512.

215100240520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2151002405202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 215100240491 and 215100240500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672144 + ... + 939136.

It is an arithmetic number, because the mean of its divisors is an integer number (8254119510).

Almost surely, 2215100240520 is an apocalyptic number.

215100240520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215100240520 is an abundant number, since it is smaller than the sum of its proper divisors (313163408120).

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

215100240520 is a wasteful number, since it uses less digits than its factorization.

215100240520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268846 (or 268842 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The spelling of 215100240520 in words is "two hundred fifteen billion, one hundred million, two hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1831 3662 7324 9155 14648 18310 20141 36620 40282 73240 80564 100705 161128 201410 266993 402820 533986 805640 1067972 1334965 2135944 2669930 2936923 5339860 5873846 10679720 11747692 14684615 23495384 29369230 58738460 117476920 488864183 977728366 1955456732 2444320915 3910913464 4888641830 5377506013 9777283660 10755012026 19554567320 21510024052 26887530065 43020048104 53775060130 107550120260 215100240520