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214024345220 = 22572377957791
BaseRepresentation
bin1100011101010011011…
…0000101011010000100
3202110102201120020102202
43013110312011122010
512001310213021340
6242153232254032
721314502626600
oct3072466053204
9673381506382
10214024345220
1182849188354
12355903a1318
131724a9a31ba
14a5048d4500
1558797b5c15
hex31d4d85684

214024345220 has 72 divisors (see below), whose sum is σ = 522978301440. Its totient is φ = 73359088320.

The previous prime is 214024345219. The next prime is 214024345267. The reversal of 214024345220 is 22543420412.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3674525 + ... + 3732315.

It is an arithmetic number, because the mean of its divisors is an integer number (7263587520).

Almost surely, 2214024345220 is an apocalyptic number.

214024345220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214024345220 is an abundant number, since it is smaller than the sum of its proper divisors (308953956220).

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

214024345220 is a wasteful number, since it uses less digits than its factorization.

214024345220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61593 (or 61584 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 214024345220 its reverse (22543420412), we get a palindrome (236567765632).

The spelling of 214024345220 in words is "two hundred fourteen billion, twenty-four million, three hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 3779 7558 15116 18895 26453 37790 52906 57791 75580 105812 115582 132265 185171 231164 264530 288955 370342 404537 529060 577910 740684 809074 925855 1155820 1618148 1851710 2022685 2831759 3703420 4045370 5663518 8090740 11327036 14158795 28317590 56635180 218392189 436784378 873568756 1091960945 1528745323 2183921890 3057490646 4367843780 6114981292 7643726615 10701217261 15287453230 21402434522 30574906460 42804869044 53506086305 107012172610 214024345220