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23222313312 = 2531143950093
BaseRepresentation
bin10101101000001010…
…000110000101100000
32012221101212202010020
4111220022012011200
5340024403011222
614400154433440
71451320256232
oct255012060540
965841782106
1023222313312
119937432780
124601132880
1322611597c3
1411a423c252
1590dac565c
hex568286160

23222313312 has 96 divisors (see below), whose sum is σ = 66653072640. Its totient is φ = 7020894720.

The previous prime is 23222313299. The next prime is 23222313319. The reversal of 23222313312 is 21331322232.

It is a tau number, because it is divible by the number of its divisors (96).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23222313319) 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, 438538 + ... + 488630.

It is an arithmetic number, because the mean of its divisors is an integer number (694302840).

Almost surely, 223222313312 is an apocalyptic number.

23222313312 is a gapful number since it is divisible by the number (22) 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 23222313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33326536320).

23222313312 is an abundant number, since it is smaller than the sum of its proper divisors (43430759328).

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

23222313312 is a wasteful number, since it uses less digits than its factorization.

23222313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50556 (or 50548 counting only the distinct ones).

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

Adding to 23222313312 its reverse (21331322232), we get a palindrome (44553635544).

The spelling of 23222313312 in words is "twenty-three billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 439 528 878 1056 1317 1756 2634 3512 4829 5268 7024 9658 10536 14048 14487 19316 21072 28974 38632 42144 50093 57948 77264 100186 115896 150279 154528 200372 231792 300558 400744 463584 551023 601116 801488 1102046 1202232 1602976 1653069 2204092 2404464 3306138 4408184 4808928 6612276 8816368 13224552 17632736 21990827 26449104 43981654 52898208 65972481 87963308 131944962 175926616 241899097 263889924 351853232 483798194 527779848 703706464 725697291 967596388 1055559696 1451394582 1935192776 2111119392 2902789164 3870385552 5805578328 7740771104 11611156656 23222313312