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22200011222112 = 253325694457433
BaseRepresentation
bin1010000110000110101111…
…10010000110110001100000
32220121022002221201011222000
411003003113302012301200
510402211110333101422
6115114313325444000
74450616654613333
oct503032762066140
986538087634860
1022200011222112
117089a76644399
1225a6616a10600
13c505b5296179
1456a6b44b061a
152877172a2cac
hex1430d7c86c60

22200011222112 has 48 divisors (see below), whose sum is σ = 64750032733680. Its totient is φ = 7400003740416.

The previous prime is 22200011222087. The next prime is 22200011222113. The reversal of 22200011222112 is 21122211000222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200011222113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12847227853 + ... + 12847229580.

It is an arithmetic number, because the mean of its divisors is an integer number (1348959015285).

Almost surely, 222200011222112 is an apocalyptic number.

It is an amenable number.

22200011222112 is an abundant number, since it is smaller than the sum of its proper divisors (42550021511568).

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

22200011222112 is a wasteful number, since it uses less digits than its factorization.

22200011222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25694457452 (or 25694457438 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22200011222112 its reverse (21122211000222), we get a palindrome (43322222222334).

The spelling of 22200011222112 in words is "twenty-two trillion, two hundred billion, eleven million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 25694457433 51388914866 77083372299 102777829732 154166744598 205555659464 231250116897 308333489196 411111318928 462500233794 616666978392 693750350691 822222637856 925000467588 1233333956784 1387500701382 1850000935176 2466667913568 2775001402764 3700001870352 5550002805528 7400003740704 11100005611056 22200011222112