Search a number
-
+
2243061912 = 2337136715329
BaseRepresentation
bin1000010110110010…
…0110100010011000
312210022201100111010
42011230212202120
514043210440122
61010324333520
7106404466050
oct20554464230
95708640433
102243061912
11a51171683
125272442a0
1329992aa90
14173c8a560
15d1dc5e0c
hex85b26898

2243061912 has 128 divisors (see below), whose sum is σ = 7005196800. Its totient is φ = 582709248.

The previous prime is 2243061893. The next prime is 2243061917. The reversal of 2243061912 is 2191603422.

It is a self number, because there is not a number n which added to its sum of digits gives 2243061912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243061917) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 138664 + ... + 153992.

It is an arithmetic number, because the mean of its divisors is an integer number (54728100).

Almost surely, 22243061912 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 2243061912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502598400).

2243061912 is an abundant number, since it is smaller than the sum of its proper divisors (4762134888).

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

2243061912 is a wasteful number, since it uses less digits than its factorization.

2243061912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15425 (or 15421 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2243061912 is about 47360.9745676754. The cubic root of 2243061912 is about 1309.0224262821.

The spelling of 2243061912 in words is "two billion, two hundred forty-three million, sixty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 67 78 84 91 104 134 156 168 182 201 268 273 312 364 402 469 536 546 728 804 871 938 1092 1407 1608 1742 1876 2184 2613 2814 3484 3752 5226 5628 6097 6968 10452 11256 12194 15329 18291 20904 24388 30658 36582 45987 48776 61316 73164 91974 107303 122632 146328 183948 199277 214606 321909 367896 398554 429212 597831 643818 797108 858424 1027043 1195662 1287636 1394939 1594216 2054086 2391324 2575272 2789878 3081129 4108172 4184817 4782648 5579756 6162258 7189301 8216344 8369634 11159512 12324516 13351559 14378602 16739268 21567903 24649032 26703118 28757204 33478536 40054677 43135806 53406236 57514408 80109354 86271612 93460913 106812472 160218708 172543224 186921826 280382739 320437416 373843652 560765478 747687304 1121530956 2243061912