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2214404430 = 235715169833
BaseRepresentation
bin1000001111111101…
…0010000101001110
312201022210101210220
42003333102011032
514013341420210
61003422212210
7105606061410
oct20377220516
95638711726
102214404430
11a36a78907
12519724066
13293a05ba4
1417014a9b0
15ce614c70
hex83fd214e

2214404430 has 64 divisors (see below), whose sum is σ = 6114106368. Its totient is φ = 502790400.

The previous prime is 2214404407. The next prime is 2214404441. The reversal of 2214404430 is 344044122.

It is a happy number.

2214404430 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 2214404430.

It is a congruent number.

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, 3207 + ... + 66626.

It is an arithmetic number, because the mean of its divisors is an integer number (95532912).

Almost surely, 22214404430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214404430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057053184).

2214404430 is an abundant number, since it is smaller than the sum of its proper divisors (3899701938).

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

2214404430 is a wasteful number, since it uses less digits than its factorization.

2214404430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70001.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2214404430 is about 47057.4588136674. The cubic root of 2214404430 is about 1303.4238012713.

Adding to 2214404430 its reverse (344044122), we get a palindrome (2558448552).

The spelling of 2214404430 in words is "two billion, two hundred fourteen million, four hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 151 210 302 453 755 906 1057 1510 2114 2265 3171 4530 5285 6342 10570 15855 31710 69833 139666 209499 349165 418998 488831 698330 977662 1047495 1466493 2094990 2444155 2932986 4888310 7332465 10544783 14664930 21089566 31634349 52723915 63268698 73813481 105447830 147626962 158171745 221440443 316343490 369067405 442880886 738134810 1107202215 2214404430