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22422442400202 = 23136711047388391
BaseRepresentation
bin1010001100100101000011…
…01101101101100111001010
32221101120020120012210002010
411012102201231231213022
510414332130223301302
6115404421113520350
74502653011464115
oct506224155554712
987346216183063
1022422442400202
1171653392016a9
1226217527130b6
13c68572873b90
145773756d157c
1528d3d4b2716c
hex1464a1b6d9ca

22422442400202 has 64 divisors (see below), whose sum is σ = 49019867817984. Its totient is φ = 6795607008960.

The previous prime is 22422442400177. The next prime is 22422442400243. The reversal of 22422442400202 is 20200424422422.

It is a self number, because there is not a number n which added to its sum of digits gives 22422442400202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57537427 + ... + 57925817.

It is an arithmetic number, because the mean of its divisors is an integer number (765935434656).

Almost surely, 222422442400202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22422442400202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24509933908992).

22422442400202 is an abundant number, since it is smaller than the sum of its proper divisors (26597425417782).

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

22422442400202 is a wasteful number, since it uses less digits than its factorization.

22422442400202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399523.

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 22422442400202 its reverse (20200424422422), we get a palindrome (42622866822624).

The spelling of 22422442400202 in words is "twenty-two trillion, four hundred twenty-two billion, four hundred forty-two million, four hundred thousand, two hundred two".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 871 1742 2613 5226 11047 22094 33141 66282 143611 287222 388391 430833 740149 776782 861666 1165173 1480298 2220447 2330346 4440894 5049083 9621937 10098166 15147249 19243874 26022197 28865811 30294498 52044394 57731622 78066591 156133182 338288561 676577122 1014865683 2029731366 4290555377 8581110754 12871666131 25743332262 55777219901 111554439802 167331659703 287467210259 334663319406 574934420518 862401630777 1724803261554 3737073733367 7474147466734 11211221200101 22422442400202