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22442314104 = 2332767664603
BaseRepresentation
bin10100111001101010…
…101000100101111000
32010221001011200100200
4110321222220211320
5331430213022404
614150532402200
71423066344120
oct247152504570
963831150320
1022442314104
119577112831
124423a76360
13216868a502
14112c7dbc80
158b539e839
hex539aa8978

22442314104 has 96 divisors (see below), whose sum is σ = 70501192320. Its totient is φ = 6316377408.

The previous prime is 22442314093. The next prime is 22442314109. The reversal of 22442314104 is 40141324422.

22442314104 is a `hidden beast` number, since 2 + 244 + 2 + 3 + 1 + 410 + 4 = 666.

It is a super-3 number, since 3×224423141043 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22442314109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298534 + ... + 366069.

It is an arithmetic number, because the mean of its divisors is an integer number (734387420).

Almost surely, 222442314104 is an apocalyptic number.

22442314104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22442314104 is an abundant number, since it is smaller than the sum of its proper divisors (48058878216).

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

22442314104 is a wasteful number, since it uses less digits than its factorization.

22442314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664689 (or 664682 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22442314104 its reverse (40141324422), we get a palindrome (62583638526).

The spelling of 22442314104 in words is "twenty-two billion, four hundred forty-two million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 402 469 504 536 603 804 938 1206 1407 1608 1876 2412 2814 3752 4221 4824 5628 8442 11256 16884 33768 664603 1329206 1993809 2658412 3987618 4652221 5316824 5981427 7975236 9304442 11962854 13956663 15950472 18608884 23925708 27913326 37217768 41869989 44528401 47851416 55826652 83739978 89056802 111653304 133585203 167479956 178113604 267170406 311698807 334959912 356227208 400755609 534340812 623397614 801511218 935096421 1068681624 1246795228 1603022436 1870192842 2493590456 2805289263 3206044872 3740385684 5610578526 7480771368 11221157052 22442314104