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20223100032 = 27379666637
BaseRepresentation
bin10010110101011001…
…000000010010000000
31221012101022220221220
4102311121000102000
5312404103200112
613142415115040
71314101341212
oct226531002200
957171286856
1020223100032
11863845a413
123b04812a80
131ba398c3a5
14d9bb9c5b2
157d563998c
hex4b5640480

20223100032 has 64 divisors (see below), whose sum is σ = 54397660800. Its totient is φ = 6655693824.

The previous prime is 20223100019. The next prime is 20223100039. The reversal of 20223100032 is 23000132202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20223099984 and 20223100020.

It is not an unprimeable number, because it can be changed into a prime (20223100039) 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, 302983 + ... + 363654.

It is an arithmetic number, because the mean of its divisors is an integer number (849963450).

Almost surely, 220223100032 is an apocalyptic number.

It is an amenable number.

20223100032 is an abundant number, since it is smaller than the sum of its proper divisors (34174560768).

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

20223100032 is an equidigital number, since it uses as much as digits as its factorization.

20223100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666733 (or 666721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20223100032 its reverse (23000132202), we get a palindrome (43223232234).

The spelling of 20223100032 in words is "twenty billion, two hundred twenty-three million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 666637 1333274 1999911 2666548 3999822 5333096 7999644 10666192 15999288 21332384 31998576 42664768 52664323 63997152 85329536 105328646 127994304 157992969 210657292 255988608 315985938 421314584 631971876 842629168 1263943752 1685258336 2527887504 3370516672 5055775008 6741033344 10111550016 20223100032