Search a number
-
+
2200114332200 = 235252121114341
BaseRepresentation
bin100000000001000001000…
…010001000001000101000
321210022212202021012202102
4200001001002020020220
5242021313232112300
64402415113352532
7314644612156061
oct40010102101050
97708782235672
102200114332200
11779077202504
122b6491a08748
1312c615474725
14786b3c13568
153c36b4d80d5
hex20041088228

2200114332200 has 48 divisors (see below), whose sum is σ = 5125084233660. Its totient is φ = 878356544000.

The previous prime is 2200114332191. The next prime is 2200114332239. The reversal of 2200114332200 is 22334110022.

It can be written as a sum of positive squares in 6 ways, for example, as 1179687065956 + 1020427266244 = 1086134^2 + 1010162^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10452971 + ... + 10661370.

Almost surely, 22200114332200 is an apocalyptic number.

2200114332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200114332200 is an abundant number, since it is smaller than the sum of its proper divisors (2924969901460).

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

2200114332200 is a wasteful number, since it uses less digits than its factorization.

2200114332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21114878 (or 21114869 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2200114332200 its reverse (22334110022), we get a palindrome (2222448442222).

The spelling of 2200114332200 in words is "two trillion, two hundred billion, one hundred fourteen million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 521 1042 2084 2605 4168 5210 10420 13025 20840 26050 52100 104200 21114341 42228682 84457364 105571705 168914728 211143410 422286820 527858525 844573640 1055717050 2111434100 4222868200 11000571661 22001143322 44002286644 55002858305 88004573288 110005716610 220011433220 275014291525 440022866440 550028583050 1100057166100 2200114332200