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221044140 = 22345136447
BaseRepresentation
bin11010010110011…
…01110110101100
3120101221012120000
431023031312230
5423041403030
633533424300
75322562362
oct1513156654
9511835500
10221044140
11103856809
126203b090
1336a44a65
14214dd632
1514614860
hexd2cddac

221044140 has 60 divisors (see below), whose sum is σ = 693428736. Its totient is φ = 58944672.

The previous prime is 221044139. The next prime is 221044151. The reversal of 221044140 is 41440122.

221044140 is a `hidden beast` number, since 221 + 0 + 441 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 19 ways as a sum of consecutive naturals, for example, 66604 + ... + 69843.

Almost surely, 2221044140 is an apocalyptic number.

221044140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221044140 is an abundant number, since it is smaller than the sum of its proper divisors (472384596).

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

221044140 is a wasteful number, since it uses less digits than its factorization.

221044140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136468 (or 136457 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 221044140 is about 14867.5532620536. The cubic root of 221044140 is about 604.6346084980.

Adding to 221044140 its reverse (41440122), we get a palindrome (262484262).

It can be divided in two parts, 22104 and 4140, that added together give a square (26244 = 1622).

The spelling of 221044140 in words is "two hundred twenty-one million, forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 136447 272894 409341 545788 682235 818682 1228023 1364470 1637364 2046705 2456046 2728940 3684069 4093410 4912092 6140115 7368138 8186820 11052207 12280230 14736276 18420345 22104414 24560460 36840690 44208828 55261035 73681380 110522070 221044140