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23243220224 = 28778716481
BaseRepresentation
bin10101101001011001…
…110110010100000000
32012222212012221000022
4111221121312110000
5340100231021344
614402222513012
71451663053310
oct255131662400
965885187008
1023243220224
119948212414
124608135768
132265599963
1411a6d21440
159108550ee
hex569676500

23243220224 has 72 divisors (see below), whose sum is σ = 53094191808. Its totient is φ = 9948119040.

The previous prime is 23243220223. The next prime is 23243220227. The reversal of 23243220224 is 42202234232.

It is a super-2 number, since 2×232432202242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23243220193 and 23243220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23243220223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1402064 + ... + 1418544.

Almost surely, 223243220224 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 23243220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26547095904).

23243220224 is an abundant number, since it is smaller than the sum of its proper divisors (29850971584).

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

23243220224 is an equidigital number, since it uses as much as digits as its factorization.

23243220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17291 (or 17277 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 23243220224 its reverse (42202234232), we get a palindrome (65445454456).

The spelling of 23243220224 in words is "twenty-three billion, two hundred forty-three million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 787 896 1574 1792 3148 5509 6296 11018 12592 16481 22036 25184 32962 44072 50368 65924 88144 100736 115367 131848 176288 201472 230734 263696 352576 461468 527392 705152 922936 1054784 1410304 1845872 2109568 3691744 4219136 7383488 12970547 14766976 25941094 29533952 51882188 90793829 103764376 181587658 207528752 363175316 415057504 726350632 830115008 1452701264 1660230016 2905402528 3320460032 5810805056 11621610112 23243220224