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2234020400 = 245210951239
BaseRepresentation
bin1000010100101000…
…0111001000110000
312202200200222212022
42011022013020300
514033402123100
61005402451012
7106234601003
oct20512071060
95680628768
102234020400
11a47056657
12524203a68
13297ab3581
141729b553a
15d11dbe85
hex85287230

2234020400 has 60 divisors (see below), whose sum is σ = 5416580400. Its totient is φ = 885392640.

The previous prime is 2234020391. The next prime is 2234020471. The reversal of 2234020400 is 40204322.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17981 + ... + 69219.

It is an arithmetic number, because the mean of its divisors is an integer number (90276340).

Almost surely, 22234020400 is an apocalyptic number.

2234020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708290200).

2234020400 is an abundant number, since it is smaller than the sum of its proper divisors (3182560000).

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

2234020400 is a wasteful number, since it uses less digits than its factorization.

2234020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51366 (or 51355 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2234020400 is about 47265.4249954446. The cubic root of 2234020400 is about 1307.2612205887.

Adding to 2234020400 its reverse (40204322), we get a palindrome (2274224722).

The spelling of 2234020400 in words is "two billion, two hundred thirty-four million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 200 218 400 436 545 872 1090 1744 2180 2725 4360 5450 8720 10900 21800 43600 51239 102478 204956 256195 409912 512390 819824 1024780 1280975 2049560 2561950 4099120 5123900 5585051 10247800 11170102 20495600 22340204 27925255 44680408 55850510 89360816 111701020 139626275 223402040 279252550 446804080 558505100 1117010200 2234020400