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228135620340 = 22345140824457
BaseRepresentation
bin1101010001110111110…
…0010100111011110100
3210210212011102021210000
43110131330110323310
512214210204322330
6252445402031300
722324261530435
oct3243574247364
9723764367700
10228135620340
118882a6791a1
123826a1a8530
1318689372934
14b082a9548c
155e03579560
hex351df14ef4

228135620340 has 60 divisors (see below), whose sum is σ = 715669895556. Its totient is φ = 60836164992.

The previous prime is 228135620303. The next prime is 228135620357. The reversal of 228135620340 is 43026531822.

228135620340 is a `hidden beast` number, since 2 + 28 + 1 + 3 + 5 + 620 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98704045584 + 129431574756 = 314172^2 + 359766^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2281356203402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 228135620295 and 228135620304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70410609 + ... + 70413848.

Almost surely, 2228135620340 is an apocalyptic number.

228135620340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228135620340 is an abundant number, since it is smaller than the sum of its proper divisors (487534275216).

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

228135620340 is a wasteful number, since it uses less digits than its factorization.

228135620340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140824478 (or 140824467 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 228135620340 in words is "two hundred twenty-eight billion, one hundred thirty-five million, six hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 140824457 281648914 422473371 563297828 704122285 844946742 1267420113 1408244570 1689893484 2112366855 2534840226 2816489140 3802260339 4224733710 5069680452 6337100565 7604520678 8449467420 11406781017 12674201130 15209041356 19011301695 22813562034 25348402260 38022603390 45627124068 57033905085 76045206780 114067810170 228135620340