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22202268440 = 23511101499601
BaseRepresentation
bin10100101011010110…
…111011101100011000
32010022022111002121112
4110223112323230120
5330432240042230
614111035355452
71414123111412
oct245326735430
963268432545
1022202268440
119463668990
1243775b2b88
13212aa21961
1411089939b2
1589e284d95
hex52b5bbb18

22202268440 has 64 divisors (see below), whose sum is σ = 55036156320. Its totient is φ = 7993600000.

The previous prime is 22202268421. The next prime is 22202268443. The reversal of 22202268440 is 4486220222.

It is a junction number, because it is equal to n+sod(n) for n = 22202268397 and 22202268406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202268443) 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 15 ways as a sum of consecutive naturals, for example, 205361 + ... + 294240.

Almost surely, 222202268440 is an apocalyptic number.

22202268440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202268440 is an abundant number, since it is smaller than the sum of its proper divisors (32833887880).

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

22202268440 is a wasteful number, since it uses less digits than its factorization.

22202268440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499724 (or 499720 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 22202268440 its reverse (4486220222), we get a palindrome (26688488662).

The spelling of 22202268440 in words is "twenty-two billion, two hundred two million, two hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 499601 999202 1998404 2498005 3996808 4996010 5495611 9992020 10991222 19984040 21982444 27478055 43964888 50459701 54956110 100919402 109912220 201838804 219824440 252298505 403677608 504597010 555056711 1009194020 1110113422 2018388040 2220226844 2775283555 4440453688 5550567110 11101134220 22202268440