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220942830 = 23519223887
BaseRepresentation
bin11010010101101…
…01000111101110
3120101202001120210
431022311013232
5423030132310
633531323250
75321661123
oct1512650756
9511661523
10220942830
11103797689
1261bb0526
1336a0a904
14214b474a
15145e4820
hexd2b51ee

220942830 has 96 divisors (see below), whose sum is σ = 584630784. Its totient is φ = 53330112.

The previous prime is 220942819. The next prime is 220942867. The reversal of 220942830 is 38249022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248647 + ... + 249533.

It is an arithmetic number, because the mean of its divisors is an integer number (6089904).

Almost surely, 2220942830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220942830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292315392).

220942830 is an abundant number, since it is smaller than the sum of its proper divisors (363687954).

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

220942830 is a wasteful number, since it uses less digits than its factorization.

220942830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 220942830 is about 14864.1457877673. The cubic root of 220942830 is about 604.5422213804.

The spelling of 220942830 in words is "two hundred twenty million, nine hundred forty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 138 190 230 285 345 361 437 570 690 722 874 887 1083 1311 1774 1805 2166 2185 2622 2661 3610 4370 4435 5322 5415 6555 8303 8870 10830 13110 13305 16606 16853 20401 24909 26610 33706 40802 41515 49818 50559 61203 83030 84265 101118 102005 122406 124545 168530 204010 249090 252795 306015 320207 387619 505590 612030 640414 775238 960621 1162857 1601035 1921242 1938095 2325714 3202070 3876190 4803105 5814285 7364761 9606210 11628570 14729522 22094283 36823805 44188566 73647610 110471415 220942830