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221521140 = 223252942437
BaseRepresentation
bin11010011010000…
…10010011110100
3120102211102212200
431031002103310
5423202134030
633551544500
75326620141
oct1515022364
9512742780
10221521140
11104052125
126222b130
1336b80bc9
14215c53c8
15146aad60
hexd3424f4

221521140 has 72 divisors (see below), whose sum is σ = 695134440. Its totient is φ = 57033984.

The previous prime is 221521129. The next prime is 221521151. The reversal of 221521140 is 41125122.

221521140 is a `hidden beast` number, since 2 + 2 + 1 + 521 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (221521129) and next prime (221521151).

It can be written as a sum of positive squares in 4 ways, for example, as 96707556 + 124813584 = 9834^2 + 11172^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 15999 + ... + 26438.

It is an arithmetic number, because the mean of its divisors is an integer number (9654645).

Almost surely, 2221521140 is an apocalyptic number.

221521140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221521140 is an abundant number, since it is smaller than the sum of its proper divisors (473613300).

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

221521140 is a wasteful number, since it uses less digits than its factorization.

221521140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42481 (or 42476 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 221521140 is about 14883.5862613820. The cubic root of 221521140 is about 605.0692177709.

Adding to 221521140 its reverse (41125122), we get a palindrome (262646262).

The spelling of 221521140 in words is "two hundred twenty-one million, five hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 42437 84874 127311 169748 212185 254622 381933 424370 509244 636555 763866 848740 1230673 1273110 1527732 1909665 2461346 2546220 3692019 3819330 4922692 6153365 7384038 7638660 11076057 12306730 14768076 18460095 22152114 24613460 36920190 44304228 55380285 73840380 110760570 221521140