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2230761384 = 23351147511
BaseRepresentation
bin1000010011110110…
…1011011110101000
312202110120102100000
42010331223132220
514032033331014
61005204543000
7106165105335
oct20475533650
95673512300
102230761384
11a45230055
125230b1a60
13297212067
141723a798c
15d0c96509
hex84f6b7a8

2230761384 has 48 divisors (see below), whose sum is σ = 6265415520. Its totient is φ = 743586480.

The previous prime is 2230761383. The next prime is 2230761391. The reversal of 2230761384 is 4831670322.

It is a happy number.

2230761384 is a `hidden beast` number, since 2 + 2 + 30 + 7 + 613 + 8 + 4 = 666.

It is a super-3 number, since 3×22307613843 (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2230761383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571812 + ... + 575699.

It is an arithmetic number, because the mean of its divisors is an integer number (130529490).

Almost surely, 22230761384 is an apocalyptic number.

2230761384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2230761384 is an abundant number, since it is smaller than the sum of its proper divisors (4034654136).

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

2230761384 is a wasteful number, since it uses less digits than its factorization.

2230761384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147532 (or 1147516 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2230761384 is about 47230.9367258368. The cubic root of 2230761384 is about 1306.6252283934.

The spelling of 2230761384 in words is "two billion, two hundred thirty million, seven hundred sixty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 1147511 2295022 3442533 4590044 6885066 9180088 10327599 13770132 20655198 27540264 30982797 41310396 61965594 82620792 92948391 123931188 185896782 247862376 278845173 371793564 557690346 743587128 1115380692 2230761384