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30223114400 = 255237778893
BaseRepresentation
bin11100001001011100…
…000010000010100000
32220000022010021210102
4130021130002002200
5443344104130100
621515002121532
72116646143103
oct341134020240
986008107712
1030223114400
11118aa1841a6
125a357b02a8
132b0868325b
141669d2673a
15bbd4ebcd5
hex7097020a0

30223114400 has 36 divisors (see below), whose sum is σ = 73782179982. Its totient is φ = 12089245440.

The previous prime is 30223114393. The next prime is 30223114409. The reversal of 30223114400 is 441132203.

It can be written as a sum of positive squares in 3 ways, for example, as 12385909264 + 17837205136 = 111292^2 + 133556^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30223114409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18888647 + ... + 18890246.

Almost surely, 230223114400 is an apocalyptic number.

It is an amenable number.

30223114400 is an abundant number, since it is smaller than the sum of its proper divisors (43559065582).

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

30223114400 is a wasteful number, since it uses less digits than its factorization.

30223114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37778913 (or 37778900 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30223114400 its reverse (441132203), we get a palindrome (30664246603).

The spelling of 30223114400 in words is "thirty billion, two hundred twenty-three million, one hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 37778893 75557786 151115572 188894465 302231144 377788930 604462288 755577860 944472325 1208924576 1511155720 1888944650 3022311440 3777889300 6044622880 7555778600 15111557200 30223114400