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213580332 = 223271994259
BaseRepresentation
bin11001011101011…
…11101000101100
3112212220000010200
430232233220230
5414134032312
633105433500
75202255120
oct1456575054
9485800120
10213580332
11aa619079
125b63b890
13353306c4
1420519580
1513b3d0dc
hexcbafa2c

213580332 has 72 divisors (see below), whose sum is σ = 620256000. Its totient is φ = 60702048.

The previous prime is 213580313. The next prime is 213580363. The reversal of 213580332 is 233085312.

It is a junction number, because it is equal to n+sod(n) for n = 213580296 and 213580305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48019 + ... + 52277.

Almost surely, 2213580332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213580332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310128000).

213580332 is an abundant number, since it is smaller than the sum of its proper divisors (406675668).

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

213580332 is a wasteful number, since it uses less digits than its factorization.

213580332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 213580332 is about 14614.3878421233. The cubic root of 213580332 is about 597.7511483075.

The spelling of 213580332 in words is "two hundred thirteen million, five hundred eighty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 398 597 796 1194 1393 1791 2388 2786 3582 4179 4259 5572 7164 8358 8518 12537 12777 16716 17036 25074 25554 29813 38331 50148 51108 59626 76662 89439 119252 153324 178878 268317 357756 536634 847541 1073268 1695082 2542623 3390164 5085246 5932787 7627869 10170492 11865574 15255738 17798361 23731148 30511476 35596722 53395083 71193444 106790166 213580332