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2212134988 = 227253613491
BaseRepresentation
bin1000001111011010…
…1000000001001100
312201011112002201111
42003312220001030
514012301304423
61003301421404
7105550560100
oct20366500114
95634462644
102212134988
11a35768838
12518a0a864
132933bcc1b
1416db19900
15ce31760d
hex83da804c

2212134988 has 72 divisors (see below), whose sum is σ = 4664795184. Its totient is φ = 914659200.

The previous prime is 2212134959. The next prime is 2212135031. The reversal of 2212134988 is 8894312122.

It is a self number, because there is not a number n which added to its sum of digits gives 2212134988.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631923 + ... + 635413.

It is an arithmetic number, because the mean of its divisors is an integer number (64788822).

Almost surely, 22212134988 is an apocalyptic number.

2212134988 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212134988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332397592).

2212134988 is an abundant number, since it is smaller than the sum of its proper divisors (2452660196).

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

2212134988 is a wasteful number, since it uses less digits than its factorization.

2212134988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3614 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 2212134988 is about 47033.3391117407. The cubic root of 2212134988 is about 1302.9783758896.

It can be divided in two parts, 2212134 and 988, that added together give a palindrome (2213122).

The spelling of 2212134988 in words is "two billion, two hundred twelve million, one hundred thirty-four thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 53 61 98 106 122 196 212 244 371 427 742 854 1484 1708 2597 2989 3233 3491 5194 5978 6466 6982 10388 11956 12932 13964 22631 24437 45262 48874 90524 97748 158417 171059 185023 212951 316834 342118 370046 425902 633668 684236 740092 851804 1295161 1490657 2590322 2981314 5180644 5962628 9066127 10434599 11286403 18132254 20869198 22572806 36264508 41738396 45145612 79004821 158009642 316019284 553033747 1106067494 2212134988