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2231265120 = 25357664067
BaseRepresentation
bin1000010011111110…
…0110011101100000
312202111112000022220
42010333212131200
514032200440440
61005223431040
7106202304060
oct20477463540
95674460286
102231265120
11a45544567
125232b5480
1329735a426
141724993a0
15d0d458d0
hex84fe6760

2231265120 has 96 divisors (see below), whose sum is σ = 8032566528. Its totient is φ = 510002688.

The previous prime is 2231265103. The next prime is 2231265151. The reversal of 2231265120 is 215621322.

2231265120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22312651203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 328674 + ... + 335393.

It is an arithmetic number, because the mean of its divisors is an integer number (83672568).

Almost surely, 22231265120 is an apocalyptic number.

2231265120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231265120 is an abundant number, since it is smaller than the sum of its proper divisors (5801301408).

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

2231265120 is a wasteful number, since it uses less digits than its factorization.

2231265120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664092 (or 664084 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2231265120 is about 47236.2691160087. The cubic root of 2231265120 is about 1306.7235721897.

Adding to 2231265120 its reverse (215621322), we get a palindrome (2446886442).

The spelling of 2231265120 in words is "two billion, two hundred thirty-one million, two hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 664067 1328134 1992201 2656268 3320335 3984402 4648469 5312536 6640670 7968804 9296938 9961005 10625072 13281340 13945407 15937608 18593876 19922010 21250144 23242345 26562680 27890814 31875216 37187752 39844020 46484690 53125360 55781628 63750432 69727035 74375504 79688040 92969380 106250720 111563256 139454070 148751008 159376080 185938760 223126512 278908140 318752160 371877520 446253024 557816280 743755040 1115632560 2231265120