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2323001120 = 255113142577
BaseRepresentation
bin1000101001110110…
…0010111100100000
312222220010200110112
42022131202330200
514224142013440
61022301550452
7111365120006
oct21235427440
95886120415
102323001120
11a92301140
12549b75428
132b036959b
14180738a76
15d8e16965
hex8a762f20

2323001120 has 96 divisors (see below), whose sum is σ = 6180281856. Its totient is φ = 817459200.

The previous prime is 2323001119. The next prime is 2323001141. The reversal of 2323001120 is 211003232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2323001095 and 2323001104.

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, 33272 + ... + 75848.

It is an arithmetic number, because the mean of its divisors is an integer number (64377936).

Almost surely, 22323001120 is an apocalyptic number.

2323001120 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 2323001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090140928).

2323001120 is an abundant number, since it is smaller than the sum of its proper divisors (3857280736).

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

2323001120 is a wasteful number, since it uses less digits than its factorization.

2323001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42634 (or 42626 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2323001120 is about 48197.5219279996. The cubic root of 2323001120 is about 1324.3917692550.

Adding to 2323001120 its reverse (211003232), we get a palindrome (2534004352).

The spelling of 2323001120 in words is "two billion, three hundred twenty-three million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 42577 54560 85154 170308 212885 340616 425770 468347 681232 851540 936694 1319887 1362464 1703080 1873388 2341735 2639774 3406160 3746776 4683470 5279548 6599435 6812320 7493552 9366940 10559096 13198870 14518757 14987104 18733880 21118192 26397740 29037514 37467760 42236384 52795480 58075028 72593785 74935520 105590960 116150056 145187570 211181920 232300112 290375140 464600224 580750280 1161500560 2323001120