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2200400244 = 2232716353569
BaseRepresentation
bin1000001100100111…
…0111000101110100
312200100102220200100
42003021313011310
514001300301434
61002202114100
7105346044030
oct20311670564
95610386610
102200400244
11a2a0832a9
12514aab930
13290b418a3
1416c3431c0
15cd29a699
hex83277174

2200400244 has 72 divisors (see below), whose sum is σ = 6395829440. Its totient is φ = 624817152.

The previous prime is 2200400231. The next prime is 2200400261. The reversal of 2200400244 is 4420040022.

2200400244 is a `hidden beast` number, since 2 + 20 + 0 + 400 + 244 = 666.

It is a super-2 number, since 2×22004002442 = 9683522467590519072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14292 + ... + 67860.

Almost surely, 22200400244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200400244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197914720).

2200400244 is an abundant number, since it is smaller than the sum of its proper divisors (4195429196).

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

2200400244 is a wasteful number, since it uses less digits than its factorization.

2200400244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53749 (or 53744 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2200400244 is about 46908.4240195724. The cubic root of 2200400244 is about 1300.6703138754.

Adding to 2200400244 its reverse (4420040022), we get a palindrome (6620440266).

The spelling of 2200400244 in words is "two billion, two hundred million, four hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 163 252 326 489 652 978 1141 1467 1956 2282 2934 3423 4564 5868 6846 10269 13692 20538 41076 53569 107138 160707 214276 321414 374983 482121 642828 749966 964242 1124949 1499932 1928484 2249898 3374847 4499796 6749694 8731747 13499388 17463494 26195241 34926988 52390482 61122229 78585723 104780964 122244458 157171446 183366687 244488916 314342892 366733374 550100061 733466748 1100200122 2200400244