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10222012032 = 27337970237
BaseRepresentation
bin10011000010100011…
…11000011010000000
3222101101112000101020
421201101320122000
5131413313341112
64410153105440
7511211445231
oct114121703200
928341460336
1010222012032
114376071a31
121b933b8280
13c6b9b093b
146cd835088
153ec61448c
hex261478680

10222012032 has 64 divisors (see below), whose sum is σ = 27224248800. Its totient is φ = 3398298624.

The previous prime is 10222012007. The next prime is 10222012039. The reversal of 10222012032 is 23021022201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10222012039) 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, 110418 + ... + 180654.

Almost surely, 210222012032 is an apocalyptic number.

10222012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13612124400).

10222012032 is an abundant number, since it is smaller than the sum of its proper divisors (17002236768).

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

10222012032 is an equidigital number, since it uses as much as digits as its factorization.

10222012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70633 (or 70621 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10222012032 its reverse (23021022201), we get a palindrome (33243034233).

The spelling of 10222012032 in words is "ten billion, two hundred twenty-two million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 379 384 758 1137 1516 2274 3032 4548 6064 9096 12128 18192 24256 36384 48512 70237 72768 140474 145536 210711 280948 421422 561896 842844 1123792 1685688 2247584 3371376 4495168 6742752 8990336 13485504 26619823 26971008 53239646 79859469 106479292 159718938 212958584 319437876 425917168 638875752 851834336 1277751504 1703668672 2555503008 3407337344 5111006016 10222012032