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221153460 = 223511335081
BaseRepresentation
bin11010010111010…
…00100010110100
3120102010202111220
431023220202310
5423103402320
633540030340
75323526163
oct1513504264
9512122456
10221153460
11103920960
12620923b0
1336a82748
142152b3da
1514636e40
hexd2e88b4

221153460 has 48 divisors (see below), whose sum is σ = 675525312. Its totient is φ = 53612800.

The previous prime is 221153447. The next prime is 221153503. The reversal of 221153460 is 64351122.

221153460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221153460.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166881 + ... + 168200.

It is an arithmetic number, because the mean of its divisors is an integer number (14073444).

Almost surely, 2221153460 is an apocalyptic number.

221153460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221153460 is an abundant number, since it is smaller than the sum of its proper divisors (454371852).

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

221153460 is a wasteful number, since it uses less digits than its factorization.

221153460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335104 (or 335102 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 221153460 is about 14871.2292699696. The cubic root of 221153460 is about 604.7342684750.

The spelling of 221153460 in words is "two hundred twenty-one million, one hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 335081 670162 1005243 1340324 1675405 2010486 3350810 3685891 4020972 5026215 6701620 7371782 10052430 11057673 14743564 18429455 20104860 22115346 36858910 44230692 55288365 73717820 110576730 221153460