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10222022096 = 24111316327409
BaseRepresentation
bin10011000010100011…
…11010110111010000
3222101101112112011222
421201101322313100
5131413314201341
64410153224212
7511211516456
oct114121726720
928341475158
1010222022096
114376079550
121b93402068
13c6b9b53b0
146cd8389d6
153ec61744b
hex26147add0

10222022096 has 80 divisors (see below), whose sum is σ = 23411209920. Its totient is φ = 4262492160.

The previous prime is 10222022081. The next prime is 10222022117. The reversal of 10222022096 is 69022022201.

It is a super-2 number, since 2×102220220962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 359240 + ... + 386648.

It is an arithmetic number, because the mean of its divisors is an integer number (292640124).

Almost surely, 210222022096 is an apocalyptic number.

10222022096 is a gapful number since it is divisible by the number (16) 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 10222022096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11705604960).

10222022096 is an abundant number, since it is smaller than the sum of its proper divisors (13189187824).

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

10222022096 is a wasteful number, since it uses less digits than its factorization.

10222022096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27604 (or 27598 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 10222022096 its reverse (69022022201), we get a palindrome (79244044297).

The spelling of 10222022096 in words is "ten billion, two hundred twenty-two million, twenty-two thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 163 176 208 286 326 572 652 1144 1304 1793 2119 2288 2608 3586 4238 7172 8476 14344 16952 23309 27409 28688 33904 46618 54818 93236 109636 186472 219272 301499 356317 372944 438544 602998 712634 1205996 1425268 2411992 2850536 3919487 4467667 4823984 5701072 7838974 8935334 15677948 17870668 31355896 35741336 49144337 58079671 62711792 71482672 98288674 116159342 196577348 232318684 393154696 464637368 638876381 786309392 929274736 1277752762 2555505524 5111011048 10222022096