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2001110232 = 2331116745389
BaseRepresentation
bin111011101000110…
…1000010011011000
312011110102221011210
41313101220103120
513044241011412
6530322423120
7100406104422
oct16721502330
95143387153
102001110232
11937635810
1247a201aa0
1325b7757c4
1414daa7812
15baa3183c
hex774684d8

2001110232 has 64 divisors (see below), whose sum is σ = 5490374400. Its totient is φ = 602752640.

The previous prime is 2001110219. The next prime is 2001110249. The reversal of 2001110232 is 2320111002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 21394 + ... + 66782.

It is an arithmetic number, because the mean of its divisors is an integer number (85787100).

Almost surely, 22001110232 is an apocalyptic number.

2001110232 is a gapful number since it is divisible by the number (22) 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 2001110232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745187200).

2001110232 is an abundant number, since it is smaller than the sum of its proper divisors (3489264168).

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

2001110232 is a wasteful number, since it uses less digits than its factorization.

2001110232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45576 (or 45572 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2001110232 is about 44733.7705989558. The cubic root of 2001110232 is about 1260.1541408805.

Adding to 2001110232 its reverse (2320111002), we get a palindrome (4321221234).

The spelling of 2001110232 in words is "two billion, one million, one hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 167 264 334 501 668 1002 1336 1837 2004 3674 4008 5511 7348 11022 14696 22044 44088 45389 90778 136167 181556 272334 363112 499279 544668 998558 1089336 1497837 1997116 2995674 3994232 5991348 7579963 11982696 15159926 22739889 30319852 45479778 60639704 83379593 90959556 166759186 181919112 250138779 333518372 500277558 667036744 1000555116 2001110232