Search a number
-
+
2332551040 = 27537137719
BaseRepresentation
bin1000101100000111…
…1110011110000000
320000120002212111021
42023001332132000
514234113113130
61023242355224
7111542233231
oct21301763600
96016085437
102332551040
11a97734136
125511bbb14
132b2331321
14181b03088
15d9ba137a
hex8b07e780

2332551040 has 128 divisors (see below), whose sum is σ = 5776790400. Its totient is φ = 899923968.

The previous prime is 2332551037. The next prime is 2332551047. The reversal of 2332551040 is 401552332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2332550996 and 2332551014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332551047) 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, 3243801 + ... + 3244519.

It is an arithmetic number, because the mean of its divisors is an integer number (45131175).

Almost surely, 22332551040 is an apocalyptic number.

2332551040 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 2332551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888395200).

2332551040 is an abundant number, since it is smaller than the sum of its proper divisors (3444239360).

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

2332551040 is a wasteful number, since it uses less digits than its factorization.

2332551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2332551040 is about 48296.4909698417. The cubic root of 2332551040 is about 1326.2041579719.

The spelling of 2332551040 in words is "two billion, three hundred thirty-two million, five hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 137 148 160 185 274 296 320 370 548 592 640 685 719 740 1096 1184 1370 1438 1480 2192 2368 2740 2876 2960 3595 4384 4736 5069 5480 5752 5920 7190 8768 10138 10960 11504 11840 14380 17536 20276 21920 23008 23680 25345 26603 28760 40552 43840 46016 50690 53206 57520 81104 87680 92032 98503 101380 106412 115040 133015 162208 197006 202760 212824 230080 266030 324416 394012 405520 425648 460160 492515 532060 648832 788024 811040 851296 985030 1064120 1576048 1622080 1702592 1970060 2128240 3152096 3244160 3405184 3644611 3940120 4256480 6304192 7289222 7880240 8512960 12608384 14578444 15760480 17025920 18223055 29156888 31520960 36446110 58313776 63041920 72892220 116627552 145784440 233255104 291568880 466510208 583137760 1166275520 2332551040