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214313110220 = 225111979649001
BaseRepresentation
bin1100011110011000001…
…1101000101011001100
3202111011211221000112202
43013212003220223030
512002403124011340
6242242025421032
721324610244216
oct3074603505314
9674154830482
10214313110220
1182987188810
123565103a778
1317295769271
14a530dc15b6
155894d05c15
hex31e60e8acc

214313110220 has 96 divisors (see below), whose sum is σ = 523355212800. Its totient is φ = 72895680000.

The previous prime is 214313110181. The next prime is 214313110237. The reversal of 214313110220 is 22011313412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214313110192 and 214313110201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5720 + ... + 654720.

It is an arithmetic number, because the mean of its divisors is an integer number (5451616800).

Almost surely, 2214313110220 is an apocalyptic number.

214313110220 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 214313110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261677606400).

214313110220 is an abundant number, since it is smaller than the sum of its proper divisors (309042102580).

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

214313110220 is a wasteful number, since it uses less digits than its factorization.

214313110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649119 (or 649117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 214313110220 its reverse (22011313412), we get a palindrome (236324423632).

The spelling of 214313110220 in words is "two hundred fourteen billion, three hundred thirteen million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 79 95 110 158 190 209 220 316 380 395 418 790 836 869 1045 1501 1580 1738 2090 3002 3476 4180 4345 6004 7505 8690 15010 16511 17380 30020 33022 66044 82555 165110 330220 649001 1298002 2596004 3245005 6490010 7139011 12331019 12980020 14278022 24662038 28556044 35695055 49324076 51271079 61655095 71390110 102542158 123310190 135641209 142780220 205084316 246620380 256355395 271282418 512710790 542564836 563981869 678206045 974150501 1025421580 1127963738 1356412090 1948301002 2255927476 2712824180 2819909345 3896602004 4870752505 5639818690 9741505010 10715655511 11279637380 19483010020 21431311022 42862622044 53578277555 107156555110 214313110220