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221135130 = 23353792161
BaseRepresentation
bin11010010111001…
…00000100011010
3120102002211101000
431023210010122
5423102311010
633535405430
75323421556
oct1513440432
9512084330
10221135130
11103909107
1262083876
1336a772b8
1421524866
15146317c0
hexd2e411a

221135130 has 64 divisors (see below), whose sum is σ = 591523200. Its totient is φ = 58786560.

The previous prime is 221135039. The next prime is 221135137. The reversal of 221135130 is 31531122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221135137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101250 + ... + 103410.

It is an arithmetic number, because the mean of its divisors is an integer number (9242550).

Almost surely, 2221135130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221135130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295761600).

221135130 is an abundant number, since it is smaller than the sum of its proper divisors (370388070).

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

221135130 is a wasteful number, since it uses less digits than its factorization.

221135130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 221135130 is about 14870.6129665189. The cubic root of 221135130 is about 604.7175604911.

Adding to 221135130 its reverse (31531122), we get a palindrome (252666252).

The spelling of 221135130 in words is "two hundred twenty-one million, one hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 379 758 1137 1895 2161 2274 3411 3790 4322 5685 6483 6822 10233 10805 11370 12966 17055 19449 20466 21610 32415 34110 38898 51165 58347 64830 97245 102330 116694 194490 291735 583470 819019 1638038 2457057 4095095 4914114 7371171 8190190 12285285 14742342 22113513 24570570 36855855 44227026 73711710 110567565 221135130