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213481416 = 233193712653
BaseRepresentation
bin11001011100101…
…11011111001000
3112212200222110010
430232113133020
5414122401131
633103351520
75201363541
oct1456273710
9485628403
10213481416
11aa560825
125b5b25a0
13352c7685
14204d14c8
1513b1db46
hexcb977c8

213481416 has 64 divisors (see below), whose sum is σ = 577022400. Its totient is φ = 65587968.

The previous prime is 213481381. The next prime is 213481417. The reversal of 213481416 is 614184312.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213481417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10546 + ... + 23198.

It is an arithmetic number, because the mean of its divisors is an integer number (9015975).

Almost surely, 2213481416 is an apocalyptic number.

213481416 is the 8436-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213481416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288511200).

213481416 is an abundant number, since it is smaller than the sum of its proper divisors (363540984).

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

213481416 is a wasteful number, since it uses less digits than its factorization.

213481416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12718 (or 12714 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 213481416 is about 14611.0032509749. The cubic root of 213481416 is about 597.6588547237.

The spelling of 213481416 in words is "two hundred thirteen million, four hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 888 1406 2109 2812 4218 5624 8436 12653 16872 25306 37959 50612 75918 101224 151836 240407 303672 468161 480814 721221 936322 961628 1404483 1442442 1872644 1923256 2808966 2884884 3745288 5617932 5769768 8895059 11235864 17790118 26685177 35580236 53370354 71160472 106740708 213481416