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42222020202 = 23367115110139
BaseRepresentation
bin100111010100101000…
…001110011001101010
311000222112011212012000
4213110220032121222
51142432314121302
631221352231430
73023205151545
oct472450163152
9130875155160
1042222020202
11169a725877a
12822409b576
133c9b523a0b
14208773b85c
151171b0331c
hex9d4a0e66a

42222020202 has 64 divisors (see below), whose sum is σ = 95319244800. Its totient is φ = 13850535600.

The previous prime is 42222020143. The next prime is 42222020209. The reversal of 42222020202 is 20202022224.

It is a happy number.

42222020202 is a `hidden beast` number, since 422 + 2 + 20 + 20 + 202 = 666.

It is a super-2 number, since 2×422220202022 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42222020209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4159249 + ... + 4169387.

It is an arithmetic number, because the mean of its divisors is an integer number (1489363200).

Almost surely, 242222020202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42222020202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47659622400).

42222020202 is an abundant number, since it is smaller than the sum of its proper divisors (53097224598).

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

42222020202 is a wasteful number, since it uses less digits than its factorization.

42222020202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42222020202 its reverse (20202022224), we get a palindrome (62424042426).

The spelling of 42222020202 in words is "forty-two billion, two hundred twenty-two million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1151 1206 1809 2302 3453 3618 6906 10139 10359 20278 20718 30417 31077 60834 62154 77117 91251 154234 182502 231351 273753 462702 547506 679313 694053 1358626 1388106 2037939 2082159 4075878 4164318 6113817 11669989 12227634 18341451 23339978 35009967 36682902 70019934 105029901 210059802 315089703 630179406 781889263 1563778526 2345667789 4691335578 7037003367 14074006734 21111010101 42222020202