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2200135896 = 2332742110369
BaseRepresentation
bin1000001100100011…
…0110100011011000
312200022221111001200
42003020312203120
514001213322041
61002152314200
7105343563240
oct20310664330
95608844050
102200135896
11a29a12732
125149a2960
13290a7b47a
1416c2b4b20
15cd2471b6
hex832368d8

2200135896 has 96 divisors (see below), whose sum is σ = 6826778400. Its totient is φ = 627056640.

The previous prime is 2200135879. The next prime is 2200135919. The reversal of 2200135896 is 6985310022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2200135896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207000 + ... + 217368.

It is an arithmetic number, because the mean of its divisors is an integer number (71112275).

Almost surely, 22200135896 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 2200135896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413389200).

2200135896 is an abundant number, since it is smaller than the sum of its proper divisors (4626642504).

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

2200135896 is a wasteful number, since it uses less digits than its factorization.

2200135896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10809 (or 10802 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2200135896 is about 46905.6062320913. The cubic root of 2200135896 is about 1300.6182258720.

The spelling of 2200135896 in words is "two billion, two hundred million, one hundred thirty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 421 504 842 1263 1684 2526 2947 3368 3789 5052 5894 7578 8841 10104 10369 11788 15156 17682 20738 23576 26523 30312 31107 35364 41476 53046 62214 70728 72583 82952 93321 106092 124428 145166 186642 212184 217749 248856 290332 373284 435498 580664 653247 746568 870996 1306494 1741992 2612988 4365349 5225976 8730698 13096047 17461396 26192094 30557443 34922792 39288141 52384188 61114886 78576282 91672329 104768376 122229772 157152564 183344658 244459544 275016987 314305128 366689316 550033974 733378632 1100067948 2200135896