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23224001344 = 263727193607
BaseRepresentation
bin10101101000010000…
…100010001101000000
32012221112001111122221
4111220100202031000
5340030321020334
614400254540424
71451340516505
oct255020421500
965845044587
1023224001344
119938385a45
124601807714
1322615cac3b
1411a455b4ac
1590dd0a8b4
hex568422340

23224001344 has 56 divisors (see below), whose sum is σ = 47361205760. Its totient is φ = 11290876416.

The previous prime is 23224001341. The next prime is 23224001371. The reversal of 23224001344 is 44310042232.

It is a happy number.

It is a super-2 number, since 2×232240013442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23224001341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6436789 + ... + 6440395.

Almost surely, 223224001344 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 23224001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23680602880).

23224001344 is an abundant number, since it is smaller than the sum of its proper divisors (24137204416).

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

23224001344 is a wasteful number, since it uses less digits than its factorization.

23224001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 23224001344 its reverse (44310042232), we get a palindrome (67534043576).

The spelling of 23224001344 in words is "twenty-three billion, two hundred twenty-four million, one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 2719 3607 5438 7214 10876 14428 21752 28856 43504 57712 87008 100603 115424 133459 174016 201206 230848 266918 402412 533836 804824 1067672 1609648 2135344 3219296 4270688 6438592 8541376 9807433 19614866 39229732 78459464 156918928 313837856 362875021 627675712 725750042 1451500084 2903000168 5806000336 11612000672 23224001344