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2240104140 = 223354148341
BaseRepresentation
bin1000010110000101…
…0100011011001100
312210010011002012000
42011201110123030
514041431313030
61010141112300
7106340366601
oct20541243314
95703132160
102240104140
11a4a53143a
12526258690
13299133711
1417371a6a8
15d19de860
hex858546cc

2240104140 has 48 divisors (see below), whose sum is σ = 6969214560. Its totient is φ = 597360960.

The previous prime is 2240104133. The next prime is 2240104147. The reversal of 2240104140 is 414010422.

2240104140 is a `hidden beast` number, since 2 + 240 + 10 + 414 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2240104133) and next prime (2240104147).

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

It is not an unprimeable number, because it can be changed into a prime (2240104147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2073631 + ... + 2074710.

It is an arithmetic number, because the mean of its divisors is an integer number (145191970).

Almost surely, 22240104140 is an apocalyptic number.

2240104140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240104140 is an abundant number, since it is smaller than the sum of its proper divisors (4729110420).

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

2240104140 is a wasteful number, since it uses less digits than its factorization.

2240104140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148359 (or 4148351 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2240104140 is about 47329.7384315612. The cubic root of 2240104140 is about 1308.4468004782.

Adding to 2240104140 its reverse (414010422), we get a palindrome (2654114562).

It can be divided in two parts, 224010 and 4140, that added together give a triangular number (228150 = T675).

The spelling of 2240104140 in words is "two billion, two hundred forty million, one hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4148341 8296682 12445023 16593364 20741705 24890046 37335069 41483410 49780092 62225115 74670138 82966820 112005207 124450230 149340276 186675345 224010414 248900460 373350690 448020828 560026035 746701380 1120052070 2240104140