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2214408306 = 2311233147057
BaseRepresentation
bin1000001111111101…
…0011000001110010
312201022210121010110
42003333103001302
514013342031211
61003422242150
7105606105615
oct20377230162
95638717113
102214408306
11a36a80810
12519726356
13293a07896
1417014c17c
15ce615ea6
hex83fd3072

2214408306 has 64 divisors (see below), whose sum is σ = 5204238336. Its totient is φ = 621139200.

The previous prime is 2214408289. The next prime is 2214408311. The reversal of 2214408306 is 6038044122.

2214408306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23530 + ... + 70586.

It is an arithmetic number, because the mean of its divisors is an integer number (81316224).

2214408306 is a Giuga number.

Almost surely, 22214408306 is an apocalyptic number.

It is a pronic number, being equal to 47057×47058.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214408306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602119168).

2214408306 is an abundant number, since it is smaller than the sum of its proper divisors (2989830030).

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

2214408306 is a wasteful number, since it uses less digits than its factorization.

2214408306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47127.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2214408306 is about 47057.4999973437. The cubic root of 2214408306 is about 1303.4245617569.

The spelling of 2214408306 in words is "two billion, two hundred fourteen million, four hundred eight thousand, three hundred six".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 138 186 253 341 506 682 713 759 1023 1426 1518 2046 2139 4278 7843 15686 23529 47057 47058 94114 141171 282342 517627 1035254 1082311 1458767 1552881 2164622 2917534 3105762 3246933 4376301 6493866 8752602 11905421 16046437 23810842 32092874 33551641 35716263 48139311 67103282 71432526 96278622 100654923 201309846 369068051 738136102 1107204153 2214408306