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2240004200 = 235273151613
BaseRepresentation
bin1000010110000011…
…1100000001101000
312210002222000002112
42011200330001220
514041420113300
61010135021452
7106336502330
oct20540740150
95702860075
102240004200
11a4a473345
1252620a888
132990ca095
141736d20c0
15d19bee35
hex8583c068

2240004200 has 96 divisors (see below), whose sum is σ = 6144130560. Its totient is φ = 743212800.

The previous prime is 2240004199. The next prime is 2240004211. The reversal of 2240004200 is 24000422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 23 ways as a sum of consecutive naturals, for example, 17594 + ... + 69206.

It is an arithmetic number, because the mean of its divisors is an integer number (64001360).

Almost surely, 22240004200 is an apocalyptic number.

2240004200 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 2240004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072065280).

2240004200 is an abundant number, since it is smaller than the sum of its proper divisors (3904126360).

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

2240004200 is a wasteful number, since it uses less digits than its factorization.

2240004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51667 (or 51658 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2240004200 is about 47328.6826353745. The cubic root of 2240004200 is about 1308.4273418415.

Adding to 2240004200 its reverse (24000422), we get a palindrome (2264004622).

The spelling of 2240004200 in words is "two billion, two hundred forty million, four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 3100 4340 5425 6200 8680 10850 21700 43400 51613 103226 206452 258065 361291 412904 516130 722582 1032260 1290325 1445164 1600003 1806455 2064520 2580650 2890328 3200006 3612910 5161300 6400012 7225820 8000015 9032275 10322600 11200021 12800024 14451640 16000030 18064550 22400042 32000060 36129100 40000075 44800084 56000105 64000120 72258200 80000150 89600168 112000210 160000300 224000420 280000525 320000600 448000840 560001050 1120002100 2240004200