[go: up one dir, main page]

Search a number
-
+
2290042602 = 2321931613541
BaseRepresentation
bin1000100001111111…
…0100011011101010
312220121010012212200
42020133310123222
514142222330402
61015123321030
7110515020021
oct21037643352
95817105780
102290042602
11a7573a9a1
1253ab20176
132a6599ac3
1417a1d98b8
15d60a621c
hex887f46ea

2290042602 has 96 divisors (see below), whose sum is σ = 5481315840. Its totient is φ = 688176000.

The previous prime is 2290042567. The next prime is 2290042607. The reversal of 2290042602 is 2062400922.

It is not an unprimeable number, because it can be changed into a prime (2290042607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644952 + ... + 648492.

It is an arithmetic number, because the mean of its divisors is an integer number (57097040).

Almost surely, 22290042602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290042602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740657920).

2290042602 is an abundant number, since it is smaller than the sum of its proper divisors (3191273238).

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

2290042602 is a wasteful number, since it uses less digits than its factorization.

2290042602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2290042602 is about 47854.3895792225. The cubic root of 2290042602 is about 1318.0984638334.

The spelling of 2290042602 in words is "two billion, two hundred ninety million, forty-two thousand, six hundred two".

Divisors: 1 2 3 6 9 18 19 31 38 57 61 62 93 114 122 171 183 186 279 342 366 549 558 589 1098 1159 1178 1767 1891 2318 3477 3534 3541 3782 5301 5673 6954 7082 10431 10602 10623 11346 17019 20862 21246 31869 34038 35929 63738 67279 71858 107787 109771 134558 201837 215574 216001 219542 323361 329313 403674 432002 605511 646722 648003 658626 987939 1211022 1296006 1944009 1975878 2085649 3888018 4104019 4171298 6256947 6696031 8208038 12312057 12513894 13392062 18770841 20088093 24624114 36936171 37541682 40176186 60264279 73872342 120528558 127224589 254449178 381673767 763347534 1145021301 2290042602