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22355012340 = 22335197210143
BaseRepresentation
bin10100110100011101…
…100110101011110100
32010200221220021212000
4110310131212223310
5331240340343330
614134133255300
71420656320043
oct246435465364
963627807760
1022355012340
119531904711
1243ba794530
13215357176b
141120d9455a
158ac8a7560
hex534766af4

22355012340 has 96 divisors (see below), whose sum is σ = 69902300160. Its totient is φ = 5931047808.

The previous prime is 22355012327. The next prime is 22355012369. The reversal of 22355012340 is 4321055322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309 + ... + 211451.

It is an arithmetic number, because the mean of its divisors is an integer number (728148960).

Almost surely, 222355012340 is an apocalyptic number.

22355012340 is a gapful number since it is divisible by the number (20) 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 22355012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34951150080).

22355012340 is an abundant number, since it is smaller than the sum of its proper divisors (47547287820).

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

22355012340 is a wasteful number, since it uses less digits than its factorization.

22355012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210358 (or 210350 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 22355012340 its reverse (4321055322), we get a palindrome (26676067662).

The spelling of 22355012340 in words is "twenty-two billion, three hundred fifty-five million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 394 540 591 788 985 1182 1773 1970 2364 2955 3546 3940 5319 5910 7092 8865 10638 11820 17730 21276 26595 35460 53190 106380 210143 420286 630429 840572 1050715 1260858 1891287 2101430 2521716 3152145 3782574 4202860 5673861 6304290 7565148 9456435 11347722 12608580 18912870 22695444 28369305 37825740 41398171 56738610 82796342 113477220 124194513 165592684 206990855 248389026 372583539 413981710 496778052 620972565 745167078 827963420 1117750617 1241945130 1490334156 1862917695 2235501234 2483890260 3725835390 4471002468 5588753085 7451670780 11177506170 22355012340