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2240100020 = 225112005001
BaseRepresentation
bin1000010110000101…
…0011011010110100
312210010010212112102
42011201103122310
514041431200040
61010141041232
7106340351564
oct20541233264
95703125472
102240100020
11a4a529334
12526256218
13299131892
14173718da4
15d19dd515
hex858536b4

2240100020 has 12 divisors (see below), whose sum is σ = 4704210084. Its totient is φ = 896040000.

The previous prime is 2240100001. The next prime is 2240100029. The reversal of 2240100020 is 200010422.

It can be written as a sum of positive squares in 2 ways, for example, as 1667742244 + 572357776 = 40838^2 + 23924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2240099974 and 2240100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240100029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56002481 + ... + 56002520.

It is an arithmetic number, because the mean of its divisors is an integer number (392017507).

Almost surely, 22240100020 is an apocalyptic number.

2240100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240100020 is an abundant number, since it is smaller than the sum of its proper divisors (2464110064).

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

2240100020 is a wasteful number, since it uses less digits than its factorization.

2240100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112005010 (or 112005008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2240100020 is about 47329.6949071088. The cubic root of 2240100020 is about 1308.4459983125.

Adding to 2240100020 its reverse (200010422), we get a palindrome (2440110442).

The spelling of 2240100020 in words is "two billion, two hundred forty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 112005001 224010002 448020004 560025005 1120050010 2240100020