Search a number
-
+
23222331312 = 2433785315329
BaseRepresentation
bin10101101000001010…
…001010011110110000
32012221101220122210220
4111220022022132300
5340024404100222
614400155053040
71451320362555
oct255012123660
965841818726
1023222331312
119937445254
124601141180
132261164a5b
1411a4244a2c
1590dacab5c
hex56828a7b0

23222331312 has 80 divisors (see below), whose sum is σ = 61688655840. Its totient is φ = 7522246656.

The previous prime is 23222331283. The next prime is 23222331323. The reversal of 23222331312 is 21313322232.

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

It is a nude number because it is divisible by every one of its digits.

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, 1507264 + ... + 1522592.

It is an arithmetic number, because the mean of its divisors is an integer number (771108198).

Almost surely, 223222331312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23222331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844327920).

23222331312 is an abundant number, since it is smaller than the sum of its proper divisors (38466324528).

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

23222331312 is a wasteful number, since it uses less digits than its factorization.

23222331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16230 (or 16224 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 23222331312 its reverse (21313322232), we get a palindrome (44535653544).

The spelling of 23222331312 in words is "twenty-three billion, two hundred twenty-two million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 853 888 1706 1776 2559 3412 5118 6824 10236 13648 15329 20472 30658 31561 40944 45987 61316 63122 91974 94683 122632 126244 183948 189366 245264 252488 367896 378732 504976 567173 735792 757464 1134346 1514928 1701519 2268692 3403038 4537384 6806076 9074768 13075637 13612152 26151274 27224304 39226911 52302548 78453822 104605096 156907644 209210192 313815288 483798569 627630576 967597138 1451395707 1935194276 2902791414 3870388552 5805582828 7740777104 11611165656 23222331312