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221144130 = 23252719067
BaseRepresentation
bin11010010111001…
…10010001000010
3120102010021201100
431023212101002
5423103103010
633535515230
75323460034
oct1513462102
9512107640
10221144130
11103914949
1262088b16
1336a7b41c
1421527c54
15146342c0
hexd2e6442

221144130 has 48 divisors (see below), whose sum is σ = 577160064. Its totient is φ = 58747680.

The previous prime is 221144129. The next prime is 221144159. The reversal of 221144130 is 31441122.

221144130 is a `hidden beast` number, since 221 + 1 + 441 + 3 + 0 = 666.

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

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, 19857 + ... + 28923.

It is an arithmetic number, because the mean of its divisors is an integer number (12024168).

Almost surely, 2221144130 is an apocalyptic number.

221144130 is an abundant number, since it is smaller than the sum of its proper divisors (356015934).

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

221144130 is a wasteful number, since it uses less digits than its factorization.

221144130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9351 (or 9348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 221144130 is about 14870.9155736962. The cubic root of 221144130 is about 604.7257641992.

Adding to 221144130 its reverse (31441122), we get a palindrome (252585252).

It can be divided in two parts, 22114 and 4130, that added together give a square (26244 = 1622).

The spelling of 221144130 in words is "two hundred twenty-one million, one hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 271 542 813 1355 1626 2439 2710 4065 4878 8130 9067 12195 18134 24390 27201 45335 54402 81603 90670 136005 163206 272010 408015 816030 2457157 4914314 7371471 12285785 14742942 22114413 24571570 36857355 44228826 73714710 110572065 221144130