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2234431400 = 235211172157
BaseRepresentation
bin1000010100101110…
…1011011110101000
312202201110212122112
42011023223132220
514034003301100
61005415341452
7106241232155
oct20513533650
95681425575
102234431400
11a47307423
12524381888
13297bc8676
14172a8122c
15d126db35
hex852eb7a8

2234431400 has 24 divisors (see below), whose sum is σ = 5195053470. Its totient is φ = 893772480.

The previous prime is 2234431391. The next prime is 2234431429. The reversal of 2234431400 is 41344322.

2234431400 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 3 ways, for example, as 1450543396 + 783888004 = 38086^2 + 27998^2 .

It is a super-3 number, since 3×22344314003 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5585879 + ... + 5586278.

Almost surely, 22234431400 is an apocalyptic number.

2234431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234431400 is an abundant number, since it is smaller than the sum of its proper divisors (2960622070).

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

2234431400 is a wasteful number, since it uses less digits than its factorization.

2234431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11172173 (or 11172164 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2234431400 is about 47269.7725824866. The cubic root of 2234431400 is about 1307.3413827060.

Adding to 2234431400 its reverse (41344322), we get a palindrome (2275775722).

The spelling of 2234431400 in words is "two billion, two hundred thirty-four million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 11172157 22344314 44688628 55860785 89377256 111721570 223443140 279303925 446886280 558607850 1117215700 2234431400