Search a number
-
+
2296900272 = 243194675393
BaseRepresentation
bin1000100011100111…
…1110101010110000
312221002000121211110
42020321332222300
514201001302042
61015530313320
7110630221152
oct21071765260
95832017743
102296900272
11a795a4197
12541288840
132a7b2b2b4
1417b0a2ad2
15d69ad09c
hex88e7eab0

2296900272 has 80 divisors (see below), whose sum is σ = 6260492160. Its totient is φ = 723649536.

The previous prime is 2296900259. The next prime is 2296900289. The reversal of 2296900272 is 2720096922.

It is a happy number.

2296900272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2296900272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423208 + ... + 428600.

It is an arithmetic number, because the mean of its divisors is an integer number (78256152).

Almost surely, 22296900272 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 2296900272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130246080).

2296900272 is an abundant number, since it is smaller than the sum of its proper divisors (3963591888).

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

2296900272 is a wasteful number, since it uses less digits than its factorization.

2296900272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2296900272 is about 47925.9874389668. The cubic root of 2296900272 is about 1319.4128610084.

The spelling of 2296900272 in words is "two billion, two hundred ninety-six million, nine hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 467 912 934 1401 1868 2802 3736 5393 5604 7472 8873 10786 11208 16179 17746 21572 22416 26619 32358 35492 43144 53238 64716 70984 86288 102467 106476 129432 141968 204934 212952 258864 307401 409868 425904 614802 819736 1229604 1639472 2459208 2518531 4918416 5037062 7555593 10074124 15111186 20148248 30222372 40296496 47852089 60444744 95704178 120889488 143556267 191408356 287112534 382816712 574225068 765633424 1148450136 2296900272