Search a number
-
+
2234284140 = 2235113385279
BaseRepresentation
bin1000010100101100…
…0111100001101100
312202201012101122110
42011023013201230
514033434043030
61005412244020
7106240046634
oct20513074154
95681171573
102234284140
11a47216820
12524310610
13297b7662a
14172a436c4
15d12401b0
hex852c786c

2234284140 has 48 divisors (see below), whose sum is σ = 6824724480. Its totient is φ = 541644480.

The previous prime is 2234284139. The next prime is 2234284153. The reversal of 2234284140 is 414824322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2234284098 and 2234284107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1691980 + ... + 1693299.

It is an arithmetic number, because the mean of its divisors is an integer number (142181760).

Almost surely, 22234284140 is an apocalyptic number.

2234284140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234284140 is an abundant number, since it is smaller than the sum of its proper divisors (4590440340).

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

2234284140 is a wasteful number, since it uses less digits than its factorization.

2234284140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385302 (or 3385300 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2234284140 is about 47268.2149017709. The cubic root of 2234284140 is about 1307.3126620031.

The spelling of 2234284140 in words is "two billion, two hundred thirty-four million, two hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3385279 6770558 10155837 13541116 16926395 20311674 33852790 37238069 40623348 50779185 67705580 74476138 101558370 111714207 148952276 186190345 203116740 223428414 372380690 446856828 558571035 744761380 1117142070 2234284140