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22330012340 = 2257315294529
BaseRepresentation
bin10100110010111110…
…001111001010110100
32010122012212011022002
4110302332033022310
5331212440343330
614131441354432
71420233654536
oct246276171264
963565764262
1022330012340
119519789859
1243b2338a18
13214b32a56c
14111b927856
158aa5b9e45
hex532f8f2b4

22330012340 has 24 divisors (see below), whose sum is σ = 47535399240. Its totient is φ = 8809648128.

The previous prime is 22330012303. The next prime is 22330012343. The reversal of 22330012340 is 4321003322.

It can be written as a sum of positive squares in 4 ways, for example, as 3754503076 + 18575509264 = 61274^2 + 136292^2 .

It is a super-2 number, since 2×223300123402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22330012343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7645805 + ... + 7648724.

It is an arithmetic number, because the mean of its divisors is an integer number (1980641635).

Almost surely, 222330012340 is an apocalyptic number.

22330012340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22330012340 is an abundant number, since it is smaller than the sum of its proper divisors (25205386900).

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

22330012340 is a wasteful number, since it uses less digits than its factorization.

22330012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15294611 (or 15294609 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22330012340 its reverse (4321003322), we get a palindrome (26651015662).

The spelling of 22330012340 in words is "twenty-two billion, three hundred thirty million, twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 15294529 30589058 61178116 76472645 152945290 305890580 1116500617 2233001234 4466002468 5582503085 11165006170 22330012340