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213199830 = 23353112539
BaseRepresentation
bin11001011010100…
…10101111010110
3112212011200012000
430231102233112
5414034343310
633053340130
75166111564
oct1455225726
9485150160
10213199830
11aa389208
125b497646
133522945c
142045aa34
1513ab54c0
hexcb52bd6

213199830 has 64 divisors (see below), whose sum is σ = 570585600. Its totient is φ = 56648160.

The previous prime is 213199823. The next prime is 213199841. The reversal of 213199830 is 38991312.

It is a congruent number.

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, 82701 + ... + 85239.

It is an arithmetic number, because the mean of its divisors is an integer number (8915400).

Almost surely, 2213199830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213199830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285292800).

213199830 is an abundant number, since it is smaller than the sum of its proper divisors (357385770).

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

213199830 is a wasteful number, since it uses less digits than its factorization.

213199830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 213199830 is about 14601.3639773824. The cubic root of 213199830 is about 597.3959646834.

The spelling of 213199830 in words is "two hundred thirteen million, one hundred ninety-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 311 622 933 1555 1866 2539 2799 3110 4665 5078 5598 7617 8397 9330 12695 13995 15234 16794 22851 25390 27990 38085 41985 45702 68553 76170 83970 114255 137106 228510 342765 685530 789629 1579258 2368887 3948145 4737774 7106661 7896290 11844435 14213322 21319983 23688870 35533305 42639966 71066610 106599915 213199830