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2220440240 = 245231206761
BaseRepresentation
bin1000010001011001…
…0011101010110000
312201202011001101102
42010112103222300
514021413041430
61004155423532
7106011300464
oct20426235260
95652131342
102220440240
11a3a420687
1251b754ba8
1329503a285
14170c7c4a4
15cee08345
hex84593ab0

2220440240 has 40 divisors (see below), whose sum is σ = 5386985568. Its totient is φ = 849559040.

The previous prime is 2220440231. The next prime is 2220440273. The reversal of 2220440240 is 420440222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×22204402402 = 9860709718822515200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601541 + ... + 605220.

Almost surely, 22220440240 is an apocalyptic number.

2220440240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220440240 is an abundant number, since it is smaller than the sum of its proper divisors (3166545328).

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

2220440240 is a wasteful number, since it uses less digits than its factorization.

2220440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206797 (or 1206791 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2220440240 is about 47121.5475127887. The cubic root of 2220440240 is about 1304.6069758848.

Adding to 2220440240 its reverse (420440222), we get a palindrome (2640880462).

The spelling of 2220440240 in words is "two billion, two hundred twenty million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 1206761 2413522 4827044 6033805 9654088 12067610 19308176 24135220 27755503 48270440 55511006 96540880 111022012 138777515 222044024 277555030 444088048 555110060 1110220120 2220440240