Search a number
-
+
23333300000 = 2555353661
BaseRepresentation
bin10101101110110001…
…011110011100100000
32020020010201110020022
4111232301132130200
5340241311100000
614415201333012
71454135530463
oct255661363440
966203643208
1023333300000
11999404870a
124632337168
13227b148cba
1411b4c8d2da
159186ea585
hex56ec5e720

23333300000 has 144 divisors (see below), whose sum is σ = 57667887144. Its totient is φ = 9292800000.

The previous prime is 23333299991. The next prime is 23333300009. The reversal of 23333300000 is 333332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23333299991) and next prime (23333300009).

It can be written as a sum of positive squares in 12 ways, for example, as 8264264464 + 15069035536 = 90908^2 + 122756^2 .

It is not an unprimeable number, because it can be changed into a prime (23333300009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35299670 + ... + 35300330.

Almost surely, 223333300000 is an apocalyptic number.

23333300000 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 23333300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28833943572).

23333300000 is an abundant number, since it is smaller than the sum of its proper divisors (34334587144).

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

23333300000 is an frugal number, since it uses more digits than its factorization.

23333300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 17.

Adding to 23333300000 its reverse (333332), we get a palindrome (23333633332).

The spelling of 23333300000 in words is "twenty-three billion, three hundred thirty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 353 400 500 625 661 706 800 1000 1250 1322 1412 1765 2000 2500 2644 2824 3125 3305 3530 4000 5000 5288 5648 6250 6610 7060 8825 10000 10576 11296 12500 13220 14120 16525 17650 20000 21152 25000 26440 28240 33050 35300 44125 50000 52880 56480 66100 70600 82625 88250 100000 105760 132200 141200 165250 176500 220625 233333 264400 282400 330500 353000 413125 441250 466666 528800 661000 706000 826250 882500 933332 1103125 1166665 1322000 1412000 1652500 1765000 1866664 2065625 2206250 2333330 2644000 3305000 3530000 3733328 4131250 4412500 4666660 5833325 6610000 7060000 7466656 8262500 8825000 9333320 11666650 13220000 16525000 17650000 18666640 23333300 29166625 33050000 35300000 37333280 46666600 58333250 66100000 93333200 116666500 145833125 186666400 233333000 291666250 466666000 583332500 729165625 933332000 1166665000 1458331250 2333330000 2916662500 4666660000 5833325000 11666650000 23333300000