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23221132032 = 28374319407
BaseRepresentation
bin10101101000000101…
…100101101100000000
32012221022122201201010
4111220011211230000
5340024102211112
614400113240520
71451304236250
oct255005455400
965838581633
1023221132032
1199367a620a
124600863140
132260b34c17
1411a4011960
1590d94063c
hex568165b00

23221132032 has 72 divisors (see below), whose sum is σ = 70630959616. Its totient is φ = 6634607616.

The previous prime is 23221131893. The next prime is 23221132037. The reversal of 23221132032 is 23023112232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (23221132037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2154328 + ... + 2165079.

Almost surely, 223221132032 is an apocalyptic number.

It is an amenable number.

23221132032 is an abundant number, since it is smaller than the sum of its proper divisors (47409827584).

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

23221132032 is an equidigital number, since it uses as much as digits as its factorization.

23221132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319433 (or 4319419 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23221132032 its reverse (23023112232), we get a palindrome (46244244264).

The spelling of 23221132032 in words is "twenty-three billion, two hundred twenty-one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 4319407 8638814 12958221 17277628 25916442 30235849 34555256 51832884 60471698 69110512 90707547 103665768 120943396 138221024 181415094 207331536 241886792 276442048 362830188 414663072 483773584 552884096 725660376 829326144 967547168 1105768192 1451320752 1658652288 1935094336 2902641504 3317304576 3870188672 5805283008 7740377344 11610566016 23221132032