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2063232024 = 233726912539
BaseRepresentation
bin111101011111010…
…0110110000011000
312022210100001020220
41322332212300120
513211141411044
6540422120040
7102062116500
oct17276466030
95283301226
102063232024
11969705837
12496b80020
1326b5b6469
14158038a00
15c1203019
hex7afa6c18

2063232024 has 96 divisors (see below), whose sum is σ = 6011265600. Its totient is φ = 588409920.

The previous prime is 2063231987. The next prime is 2063232049. The reversal of 2063232024 is 4202323602.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2063231985 and 2063232003.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 811347 + ... + 813885.

It is an arithmetic number, because the mean of its divisors is an integer number (62617350).

Almost surely, 22063232024 is an apocalyptic number.

2063232024 is a gapful number since it is divisible by the number (24) 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 2063232024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005632800).

2063232024 is an abundant number, since it is smaller than the sum of its proper divisors (3948033576).

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

2063232024 is a wasteful number, since it uses less digits than its factorization.

2063232024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2063232024 is about 45422.8139154764. The cubic root of 2063232024 is about 1273.0614187494.

Adding to 2063232024 its reverse (4202323602), we get a palindrome (6265555626).

The spelling of 2063232024 in words is "two billion, sixty-three million, two hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 691 1176 1382 2073 2539 2764 4146 4837 5078 5528 7617 8292 9674 10156 14511 15234 16584 17773 19348 20312 29022 30468 33859 35546 38696 53319 58044 60936 67718 71092 101577 106638 116088 124411 135436 142184 203154 213276 248822 270872 373233 406308 426552 497644 746466 812616 995288 1492932 1754449 2985864 3508898 5263347 7017796 10526694 12281143 14035592 21053388 24562286 36843429 42106776 49124572 73686858 85968001 98249144 147373716 171936002 257904003 294747432 343872004 515808006 687744008 1031616012 2063232024