Search a number
-
+
23331400000 = 2655116657
BaseRepresentation
bin10101101110101010…
…001110100101000000
32020020000010220220221
4111232222032211000
5340240314300000
614415052512424
71454113425226
oct255652164500
966200126827
1023331400000
119992a70167
12463177b714
13227a93223c
1411b4916b16
1591847261a
hex56ea8e940

23331400000 has 84 divisors (see below), whose sum is σ = 57869600796. Its totient is φ = 9332480000.

The previous prime is 23331399991. The next prime is 23331400003. The reversal of 23331400000 is 413332.

It can be written as a sum of positive squares in 6 ways, for example, as 23276994624 + 54405376 = 152568^2 + 7376^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23331400003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141672 + ... + 258328.

It is an arithmetic number, because the mean of its divisors is an integer number (688923819).

Almost surely, 223331400000 is an apocalyptic number.

23331400000 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 23331400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28934800398).

23331400000 is an abundant number, since it is smaller than the sum of its proper divisors (34538200796).

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

23331400000 is an frugal number, since it uses more digits than its factorization.

23331400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116694 (or 116664 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23331400000 its reverse (413332), we get a palindrome (23331813332).

The spelling of 23331400000 in words is "twenty-three billion, three hundred thirty-one million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 25000 40000 50000 100000 116657 200000 233314 466628 583285 933256 1166570 1866512 2333140 2916425 3733024 4666280 5832850 7466048 9332560 11665700 14582125 18665120 23331400 29164250 37330240 46662800 58328500 72910625 93325600 116657000 145821250 186651200 233314000 291642500 364553125 466628000 583285000 729106250 933256000 1166570000 1458212500 2333140000 2916425000 4666280000 5832850000 11665700000 23331400000