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2200132212 = 22329149151281
BaseRepresentation
bin1000001100100011…
…0101101001110100
312200022221022000020
42003020311221310
514001213212322
61002152245140
7105343546425
oct20310655164
95608838006
102200132212
11a29a0a993
125149a07b0
13290a798a5
1416c2b364c
15cd24605c
hex83235a74

2200132212 has 96 divisors (see below), whose sum is σ = 5400864000. Its totient is φ = 696192000.

The previous prime is 2200132177. The next prime is 2200132213. The reversal of 2200132212 is 2122310022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2200132191 and 2200132200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200132213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7829512 + ... + 7829792.

It is an arithmetic number, because the mean of its divisors is an integer number (56259000).

Almost surely, 22200132212 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 2200132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700432000).

2200132212 is an abundant number, since it is smaller than the sum of its proper divisors (3200731788).

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

2200132212 is a wasteful number, since it uses less digits than its factorization.

2200132212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2200132212 is about 46905.5669617157. The cubic root of 2200132212 is about 1300.6174999350.

Adding to 2200132212 its reverse (2122310022), we get a palindrome (4322442234).

The spelling of 2200132212 in words is "two billion, two hundred million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 149 151 174 281 298 302 348 447 453 562 596 604 843 894 906 1124 1686 1788 1812 3372 4321 4379 8149 8642 8758 12963 13137 16298 17284 17516 22499 24447 25926 26274 32596 41869 42431 44998 48894 51852 52548 67497 83738 84862 89996 97788 125607 127293 134994 167476 169724 251214 254586 269988 502428 509172 652471 1214201 1230499 1304942 1957413 2428402 2460998 2609884 3642603 3691497 3914826 4856804 4921996 6322219 7285206 7382994 7829652 12644438 14570412 14765988 18966657 25288876 37933314 75866628 183344351 366688702 550033053 733377404 1100066106 2200132212