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2200100892 = 2231122952249
BaseRepresentation
bin1000001100100010…
…1110000000011100
312200022212201001020
42003020232000130
514001211212032
61002151444140
7105343356213
oct20310560034
95608781036
102200100892
11a29999400
12514986650
13290a68562
1416c2a607a
15cd23bb2c
hex8322e01c

2200100892 has 72 divisors (see below), whose sum is σ = 5837370000. Its totient is φ = 643695360.

The previous prime is 2200100887. The next prime is 2200100899. The reversal of 2200100892 is 2980010022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200100899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15984 + ... + 68232.

Almost surely, 22200100892 is an apocalyptic number.

2200100892 is a gapful number since it is divisible by the number (22) 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 2200100892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918685000).

2200100892 is an abundant number, since it is smaller than the sum of its proper divisors (3637269108).

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

2200100892 is a wasteful number, since it uses less digits than its factorization.

2200100892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52307 (or 52294 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2200100892 is about 46905.2330982376. The cubic root of 2200100892 is about 1300.6113282554.

The spelling of 2200100892 in words is "two billion, two hundred million, one hundred thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 638 726 957 1276 1452 1914 3509 3828 7018 10527 14036 21054 42108 52249 104498 156747 208996 313494 574739 626988 1149478 1515221 1724217 2298956 3030442 3448434 4545663 6060884 6322129 6896868 9091326 12644258 16667431 18182652 18966387 25288516 33334862 37932774 50002293 66669724 75865548 100004586 183341741 200009172 366683482 550025223 733366964 1100050446 2200100892