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2220104340 = 2232537333349
BaseRepresentation
bin1000010001010100…
…0001101010010100
312201201111222121200
42010111001222110
514021321314330
61004144312500
7106005401256
oct20425015224
95651458550
102220104340
11a3a211283
1251b612730
13294c5040c
14170bd1cd6
15ced8da60
hex84541a94

2220104340 has 72 divisors (see below), whose sum is σ = 6916345800. Its totient is φ = 576025344.

The previous prime is 2220104323. The next prime is 2220104351. The reversal of 2220104340 is 434010222.

2220104340 is a `hidden beast` number, since 2 + 220 + 10 + 434 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 481714704 + 1738389636 = 21948^2 + 41694^2 .

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 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, 160015 + ... + 173334.

Almost surely, 22220104340 is an apocalyptic number.

2220104340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220104340 is an abundant number, since it is smaller than the sum of its proper divisors (4696241460).

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

2220104340 is a wasteful number, since it uses less digits than its factorization.

2220104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333401 (or 333396 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2220104340 is about 47117.9831911341. The cubic root of 2220104340 is about 1304.5411871920.

Adding to 2220104340 its reverse (434010222), we get a palindrome (2654114562).

The spelling of 2220104340 in words is "two billion, two hundred twenty million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 333349 666698 1000047 1333396 1666745 2000094 3000141 3333490 4000188 5000235 6000282 6666980 10000470 12000564 12333913 15000705 20000940 24667826 30001410 37001739 49335652 60002820 61669565 74003478 111005217 123339130 148006956 185008695 222010434 246678260 370017390 444020868 555026085 740034780 1110052170 2220104340