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22234142440 = 23543104912323
BaseRepresentation
bin10100101101010000…
…100001011011101000
32010101112110110112001
4110231100201123220
5331013420024230
614114134500344
71414661043466
oct245520413350
963345413461
1022234142440
11947a659334
1243862046b4
132134501903
14110cccd836
158a1e7e0ca
hex52d4216e8

22234142440 has 64 divisors (see below), whose sum is σ = 51243192000. Its totient is φ = 8677842432.

The previous prime is 22234142429. The next prime is 22234142449. The reversal of 22234142440 is 4424143222.

It is a junction number, because it is equal to n+sod(n) for n = 22234142399 and 22234142408.

It is not an unprimeable number, because it can be changed into a prime (22234142449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1798119 + ... + 1810441.

It is an arithmetic number, because the mean of its divisors is an integer number (800674875).

Almost surely, 222234142440 is an apocalyptic number.

22234142440 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 22234142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25621596000).

22234142440 is an abundant number, since it is smaller than the sum of its proper divisors (29009049560).

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

22234142440 is a wasteful number, since it uses less digits than its factorization.

22234142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13426 (or 13422 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22234142440 its reverse (4424143222), we get a palindrome (26658285662).

The spelling of 22234142440 in words is "twenty-two billion, two hundred thirty-four million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1049 1720 2098 4196 5245 8392 10490 12323 20980 24646 41960 45107 49292 61615 90214 98584 123230 180428 225535 246460 360856 451070 492920 529889 902140 1059778 1804280 2119556 2649445 4239112 5298890 10597780 12926827 21195560 25853654 51707308 64634135 103414616 129268270 258536540 517073080 555853561 1111707122 2223414244 2779267805 4446828488 5558535610 11117071220 22234142440