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2234320400 = 245213429677
BaseRepresentation
bin1000010100101101…
…0000011000010000
312202201021020101102
42011023100120100
514033441223100
61005413123532
7106240260434
oct20513203020
95681236342
102234320400
11a47240a94
125243295a8
13297b89ca0
14172a529c4
15d124acd5
hex852d0610

2234320400 has 60 divisors (see below), whose sum is σ = 5780887812. Its totient is φ = 824977920.

The previous prime is 2234320391. The next prime is 2234320427. The reversal of 2234320400 is 40234322.

It can be written as a sum of positive squares in 6 ways, for example, as 981443584 + 1252876816 = 31328^2 + 35396^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209639 + ... + 220038.

Almost surely, 22234320400 is an apocalyptic number.

2234320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234320400 is an abundant number, since it is smaller than the sum of its proper divisors (3546567412).

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

2234320400 is a wasteful number, since it uses less digits than its factorization.

2234320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429708 (or 429697 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2234320400 is about 47268.5984560575. The cubic root of 2234320400 is about 1307.3197340520.

Adding to 2234320400 its reverse (40234322), we get a palindrome (2274554722).

The spelling of 2234320400 in words is "two billion, two hundred thirty-four million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 429677 859354 1718708 2148385 3437416 4296770 5585801 6874832 8593540 10741925 11171602 17187080 21483850 22343204 27929005 34374160 42967700 44686408 55858010 85935400 89372816 111716020 139645025 171870800 223432040 279290050 446864080 558580100 1117160200 2234320400