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22200221221020 = 22325313978534269
BaseRepresentation
bin1010000110000111001000…
…10011001100000010011100
32220121022122120212020022100
411003003210103030002130
510402212023113033040
6115114350230445100
74450625114564133
oct503034423140234
986538576766270
1022200221221020
11708a074136707
1225a6675203790
13c5061994168b
1456a6d433691a
1528772a934b30
hex1430e44cc09c

22200221221020 has 72 divisors (see below), whose sum is σ = 69512950765440. Its totient is φ = 5729089345920.

The previous prime is 22200221221019. The next prime is 22200221221027. The reversal of 22200221221020 is 2012212200222.

22200221221020 is a `hidden beast` number, since 2 + 2 + 200 + 221 + 221 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22200221220984 and 22200221221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200221221027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1989261555 + ... + 1989272714.

It is an arithmetic number, because the mean of its divisors is an integer number (965457649520).

Almost surely, 222200221221020 is an apocalyptic number.

22200221221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200221221020 is an abundant number, since it is smaller than the sum of its proper divisors (47312729544420).

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

22200221221020 is a wasteful number, since it uses less digits than its factorization.

22200221221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978534315 (or 3978534310 counting only the distinct ones).

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

Adding to 22200221221020 its reverse (2012212200222), we get a palindrome (24212433421242).

The spelling of 22200221221020 in words is "twenty-two trillion, two hundred billion, two hundred twenty-one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 3978534269 7957068538 11935602807 15914137076 19892671345 23871205614 35806808421 39785342690 47742411228 59678014035 71613616842 79570685380 119356028070 123334562339 143227233684 179034042105 238712056140 246669124678 358068084210 370003687017 493338249356 616672811695 716136168420 740007374034 1110011061051 1233345623390 1480014748068 1850018435085 2220022122102 2466691246780 3700036870170 4440044244204 5550055305255 7400073740340 11100110610510 22200221221020