Search a number
-
+
221636940 = 223575231009
BaseRepresentation
bin11010011010111…
…10100101001100
3120110001022201120
431031132211030
5423214340230
633554240540
75330611560
oct1515364514
9513038646
10221636940
11104121128
1262286150
1336bc1825
14216156a0
15146d0310
hexd35e94c

221636940 has 96 divisors (see below), whose sum is σ = 711298560. Its totient is φ = 50512896.

The previous prime is 221636929. The next prime is 221636941. The reversal of 221636940 is 49636122.

It is not an unprimeable number, because it can be changed into a prime (221636941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219156 + ... + 220164.

It is an arithmetic number, because the mean of its divisors is an integer number (7409360).

Almost surely, 2221636940 is an apocalyptic number.

221636940 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 221636940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355649280).

221636940 is an abundant number, since it is smaller than the sum of its proper divisors (489661620).

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

221636940 is a wasteful number, since it uses less digits than its factorization.

221636940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 221636940 is about 14887.4759445649. The cubic root of 221636940 is about 605.1746325556.

The spelling of 221636940 in words is "two hundred twenty-one million, six hundred thirty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 523 1009 1046 1569 2018 2092 2615 3027 3138 3661 4036 5045 5230 6054 6276 7063 7322 7845 10090 10460 10983 12108 14126 14644 15135 15690 18305 20180 21189 21966 28252 30270 31380 35315 36610 42378 43932 54915 60540 70630 73220 84756 105945 109830 141260 211890 219660 423780 527707 1055414 1583121 2110828 2638535 3166242 3693949 5277070 6332484 7387898 7915605 10554140 11081847 14775796 15831210 18469745 22163694 31662420 36939490 44327388 55409235 73878980 110818470 221636940