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2230231120 = 245134349871
BaseRepresentation
bin1000010011101110…
…1010000001010000
312202102120110221121
42010323222001100
514031414343440
61005145332024
7106160436355
oct20473520120
95672513847
102230231120
11a449a8717
12522a97014
132970878b0
141722aa62c
15d0bde34a
hex84eea050

2230231120 has 80 divisors (see below), whose sum is σ = 5714134272. Its totient is φ = 804303360.

The previous prime is 2230231117. The next prime is 2230231123. The reversal of 2230231120 is 211320322.

It is an interprime number because it is at equal distance from previous prime (2230231117) and next prime (2230231123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2230231094 and 2230231103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230231123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19785 + ... + 69655.

Almost surely, 22230231120 is an apocalyptic number.

2230231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857067136).

2230231120 is an abundant number, since it is smaller than the sum of its proper divisors (3483903152).

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

2230231120 is a wasteful number, since it uses less digits than its factorization.

2230231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49940 (or 49934 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2230231120 is about 47225.3228681393. The cubic root of 2230231120 is about 1306.5216895702.

Adding to 2230231120 its reverse (211320322), we get a palindrome (2441551442).

The spelling of 2230231120 in words is "two billion, two hundred thirty million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 344 430 520 559 688 860 1040 1118 1720 2236 2795 3440 4472 5590 8944 11180 22360 44720 49871 99742 199484 249355 398968 498710 648323 797936 997420 1296646 1994840 2144453 2593292 3241615 3989680 4288906 5186584 6483230 8577812 10373168 10722265 12966460 17155624 21444530 25932920 27877889 34311248 42889060 51865840 55755778 85778120 111511556 139389445 171556240 223023112 278778890 446046224 557557780 1115115560 2230231120