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221093874 = 23417431867
BaseRepresentation
bin11010010110110…
…01111111110010
3120102000201210000
431023121333302
5423100000444
633534450430
75323160361
oct1513317762
9512021700
10221093874
11103890111
1262063a16
1336a615a1
14215137d8
1514624469
hexd2d9ff2

221093874 has 80 divisors (see below), whose sum is σ = 537042528. Its totient is φ = 67713408.

The previous prime is 221093867. The next prime is 221093893. The reversal of 221093874 is 478390122.

It is a super-2 number, since 2×2210938742 = 97765002240655752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117489 + ... + 119355.

Almost surely, 2221093874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221093874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268521264).

221093874 is an abundant number, since it is smaller than the sum of its proper divisors (315948654).

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

221093874 is a wasteful number, since it uses less digits than its factorization.

221093874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 221093874 is about 14869.2257363993. The cubic root of 221093874 is about 604.6799518438.

The spelling of 221093874 in words is "two hundred twenty-one million, ninety-three thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 81 86 102 129 153 162 258 306 387 459 731 774 918 1161 1377 1462 1867 2193 2322 2754 3483 3734 4386 5601 6579 6966 11202 13158 16803 19737 31739 33606 39474 50409 59211 63478 80281 95217 100818 118422 151227 160562 190434 240843 285651 302454 481686 571302 722529 856953 1364777 1445058 1713906 2167587 2570859 2729554 4094331 4335174 5141718 6502761 8188662 12282993 13005522 24565986 36848979 73697958 110546937 221093874