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1322114988 = 2232919119891
BaseRepresentation
bin100111011001101…
…1101111110101100
310102010210101210210
41032303131332230
510201430134423
6335105302420
744522535435
oct11663357654
93363711723
101322114988
11619332617
1230a934a10
13180babc7c
14c783a48c
157b10cb93
hex4ecddfac

1322114988 has 48 divisors (see below), whose sum is σ = 3208181760. Its totient is φ = 423259200.

The previous prime is 1322114977. The next prime is 1322115059. The reversal of 1322114988 is 8894112231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56523 + ... + 76413.

It is an arithmetic number, because the mean of its divisors is an integer number (66837120).

Almost surely, 21322114988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322114988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604090880).

1322114988 is an abundant number, since it is smaller than the sum of its proper divisors (1886066772).

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

1322114988 is a wasteful number, since it uses less digits than its factorization.

1322114988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20118 (or 20116 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 1322114988 is about 36360.8991637996. The cubic root of 1322114988 is about 1097.5468715961.

The spelling of 1322114988 in words is "one billion, three hundred twenty-two million, one hundred fourteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 191 348 382 573 764 1146 2292 5539 11078 16617 19891 22156 33234 39782 59673 66468 79564 119346 238692 576839 1153678 1730517 2307356 3461034 3799181 6922068 7598362 11397543 15196724 22795086 45590172 110176249 220352498 330528747 440704996 661057494 1322114988