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1322211000222 = 23371012342899
BaseRepresentation
bin10011001111011001111…
…010101011111110011110
311200101212011021011121000
4103033121322223332132
5133130342004001342
62451225414251130
7164345423031150
oct23173172537636
94611764234530
101322211000222
1146a823704422
12194305956aa6
13978b7885618
1447dd1372ad0
15245d8d3244c
hex133d9eabf9e

1322211000222 has 96 divisors (see below), whose sum is σ = 3391582752000. Its totient is φ = 374033138400.

The previous prime is 1322211000167. The next prime is 1322211000263. The reversal of 1322211000222 is 2220001122231.

1322211000222 is a `hidden beast` number, since 1 + 322 + 21 + 100 + 0 + 222 = 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 = 1322211000195 and 1322211000204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3684529 + ... + 4027427.

It is an arithmetic number, because the mean of its divisors is an integer number (35328987000).

Almost surely, 21322211000222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322211000222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695791376000).

1322211000222 is an abundant number, since it is smaller than the sum of its proper divisors (2069371751778).

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

1322211000222 is a wasteful number, since it uses less digits than its factorization.

1322211000222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343119 (or 343012 counting only the distinct ones).

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

Adding to 1322211000222 its reverse (2220001122231), we get a palindrome (3542212122453).

The spelling of 1322211000222 in words is "one trillion, three hundred twenty-two billion, two hundred eleven million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 378 606 707 909 1414 1818 2121 2727 4242 5454 6363 10201 12726 19089 20402 30603 38178 61206 71407 91809 142814 183618 214221 275427 342899 428442 550854 642663 685798 1028697 1285326 1927989 2057394 2400293 3086091 3855978 4800586 6172182 7200879 9258273 14401758 18516546 21602637 34632799 43205274 64807911 69265598 103898397 129615822 207796794 242429593 311695191 484859186 623390382 727288779 935085573 1454577558 1870171146 2181866337 3497912699 4363732674 6545599011 6995825398 10493738097 13091198022 20987476194 24485388893 31481214291 48970777786 62962428582 73456166679 94443642873 146912333358 188887285746 220368500037 440737000074 661105500111 1322211000222