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220339940 = 22531467761
BaseRepresentation
bin11010010001000…
…01111011100100
3120100121102120112
431020201323210
5422401334230
633510352152
75313600332
oct1510417344
9510542515
10220339940
11103415727
126195b658
1336859382
1421398b52
1514525d95
hexd221ee4

220339940 has 48 divisors (see below), whose sum is σ = 479291904. Its totient is φ = 84998400.

The previous prime is 220339939. The next prime is 220339957. The reversal of 220339940 is 49933022.

It is a junction number, because it is equal to n+sod(n) for n = 220339897 and 220339906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289160 + ... + 289920.

It is an arithmetic number, because the mean of its divisors is an integer number (9985248).

Almost surely, 2220339940 is an apocalyptic number.

220339940 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 220339940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

220339940 is an abundant number, since it is smaller than the sum of its proper divisors (258951964).

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

220339940 is a wasteful number, since it uses less digits than its factorization.

220339940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 220339940 is about 14843.8519259658. The cubic root of 220339940 is about 603.9918460078.

The spelling of 220339940 in words is "two hundred twenty million, three hundred thirty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 467 620 761 934 1522 1868 2335 3044 3805 4670 7610 9340 14477 15220 23591 28954 47182 57908 72385 94364 117955 144770 235910 289540 355387 471820 710774 1421548 1776935 3553870 7107740 11016997 22033994 44067988 55084985 110169970 220339940