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2314251220 = 225978211453
BaseRepresentation
bin1000100111110000…
…1010101111010100
312222021200010212011
42021330022233110
514214422014340
61021350234004
7111230545051
oct21174125724
95867603764
102314251220
11a88375216
12547055904
132ab5c4a28
1417d4dc028
15d82890ea
hex89f0abd4

2314251220 has 48 divisors (see below), whose sum is σ = 4919393808. Its totient is φ = 914411520.

The previous prime is 2314251211. The next prime is 2314251241. The reversal of 2314251220 is 221524132.

It is a happy number.

2314251220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22905796 + 2291345424 = 4786^2 + 47868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2314251191 and 2314251200.

It is a congruent number.

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, 1592014 + ... + 1593466.

It is an arithmetic number, because the mean of its divisors is an integer number (102487371).

Almost surely, 22314251220 is an apocalyptic number.

2314251220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314251220 is an abundant number, since it is smaller than the sum of its proper divisors (2605142588).

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

2314251220 is a wasteful number, since it uses less digits than its factorization.

2314251220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2314251220 is about 48106.6650267923. The cubic root of 2314251220 is about 1322.7268431392.

Adding to 2314251220 its reverse (221524132), we get a palindrome (2535775352).

The spelling of 2314251220 in words is "two billion, three hundred fourteen million, two hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 821 970 1453 1642 1940 2906 3284 4105 5812 7265 8210 14530 16420 29060 79637 140941 159274 281882 318548 398185 563764 704705 796370 1192913 1409410 1592740 2385826 2818820 4771652 5964565 11929130 23858260 115712561 231425122 462850244 578562805 1157125610 2314251220