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221013320 = 235111926437
BaseRepresentation
bin11010010110001…
…10010101001000
3120101212122021112
431023012111020
5423034411240
633533025452
75322403463
oct1513062510
9511778245
10221013320
11103835640
1262025288
1336a33a18
14214d22da
151460a665
hexd2c6548

221013320 has 64 divisors (see below), whose sum is σ = 571060800. Its totient is φ = 76135680.

The previous prime is 221013319. The next prime is 221013341. The reversal of 221013320 is 23310122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221013295 and 221013304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4859 + ... + 21578.

It is an arithmetic number, because the mean of its divisors is an integer number (8922825).

Almost surely, 2221013320 is an apocalyptic number.

221013320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221013320 is an abundant number, since it is smaller than the sum of its proper divisors (350047480).

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

221013320 is a wasteful number, since it uses less digits than its factorization.

221013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26478 (or 26474 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 221013320 is about 14866.5167406491. The cubic root of 221013320 is about 604.6065059588.

Adding to 221013320 its reverse (23310122), we get a palindrome (244323442).

The spelling of 221013320 in words is "two hundred twenty-one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 26437 52874 105748 132185 211496 264370 290807 502303 528740 581614 1004606 1057480 1163228 1454035 2009212 2326456 2511515 2908070 4018424 5023030 5525333 5816140 10046060 11050666 11632280 20092120 22101332 27626665 44202664 55253330 110506660 221013320