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220313212320 = 2535458985859
BaseRepresentation
bin1100110100101110110…
…0001101010110100000
3210001200000011210021110
43031023230031112200
512102200140243240
6245113244423320
721626365256235
oct3151354152640
9701600153243
10220313212320
1185486079283
1236846547b40
1317a1086c636
14a93dc1978c
155ae695dc80
hex334bb0d5a0

220313212320 has 48 divisors (see below), whose sum is σ = 693986620320. Its totient is φ = 58750189824.

The previous prime is 220313212297. The next prime is 220313212331. The reversal of 220313212320 is 23212313022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2203132123203 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229492450 + ... + 229493409.

It is an arithmetic number, because the mean of its divisors is an integer number (14458054590).

Almost surely, 2220313212320 is an apocalyptic number.

220313212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220313212320 is an abundant number, since it is smaller than the sum of its proper divisors (473673408000).

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

220313212320 is a wasteful number, since it uses less digits than its factorization.

220313212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458985877 (or 458985869 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220313212320 its reverse (23212313022), we get a palindrome (243525525342).

The spelling of 220313212320 in words is "two hundred twenty billion, three hundred thirteen million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 458985859 917971718 1376957577 1835943436 2294929295 2753915154 3671886872 4589858590 5507830308 6884787885 7343773744 9179717180 11015660616 13769575770 14687547488 18359434360 22031321232 27539151540 36718868720 44062642464 55078303080 73437737440 110156606160 220313212320