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20232315216 = 2433359130457
BaseRepresentation
bin10010110101111100…
…001010000101010000
31221020000200002211000
4102311330022011100
5312413433041331
613143344422000
71314242561511
oct226574120520
957200602730
1020232315216
118642683973
123b07917900
131ba5867969
14d9d0baa08
157d635a0e6
hex4b5f0a150

20232315216 has 80 divisors (see below), whose sum is σ = 58236451200. Its totient is φ = 6725267712.

The previous prime is 20232315203. The next prime is 20232315269. The reversal of 20232315216 is 61251323202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20232315216.

It is a congruent number.

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, 89860 + ... + 220316.

It is an arithmetic number, because the mean of its divisors is an integer number (727955640).

Almost surely, 220232315216 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 20232315216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29118225600).

20232315216 is an abundant number, since it is smaller than the sum of its proper divisors (38004135984).

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

20232315216 is a wasteful number, since it uses less digits than its factorization.

20232315216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130833 (or 130821 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 20232315216 its reverse (61251323202), we get a palindrome (81483638418).

The spelling of 20232315216 in words is "twenty billion, two hundred thirty-two million, three hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 359 432 718 1077 1436 2154 2872 3231 4308 5744 6462 8616 9693 12924 17232 19386 25848 38772 51696 77544 130457 155088 260914 391371 521828 782742 1043656 1174113 1565484 2087312 2348226 3130968 3522339 4696452 6261936 7044678 9392904 14089356 18785808 28178712 46834063 56357424 93668126 140502189 187336252 281004378 374672504 421506567 562008756 749345008 843013134 1124017512 1264519701 1686026268 2248035024 2529039402 3372052536 5058078804 6744105072 10116157608 20232315216