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242244022420 = 22559320539949
BaseRepresentation
bin1110000110011011011…
…1100111000010010100
3212011021101212101001101
43201212313213002110
512432103432204140
6303141350035444
723334014134141
oct3414667470224
9764241771041
10242244022420
119380a487524
123ab47048b84
1319ac727774a
14ba207093c8
15647be7199a
hex3866de7094

242244022420 has 48 divisors (see below), whose sum is σ = 509869760400. Its totient is φ = 96677369856.

The previous prime is 242244022387. The next prime is 242244022453. The reversal of 242244022420 is 24220442242.

242244022420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242244022387) and next prime (242244022453).

It can be written as a sum of positive squares in 8 ways, for example, as 811338256 + 241432684164 = 28484^2 + 491358^2 .

It is a congruent number.

It is an unprimeable number.

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, 24343606 + ... + 24353554.

It is an arithmetic number, because the mean of its divisors is an integer number (10622286675).

Almost surely, 2242244022420 is an apocalyptic number.

242244022420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242244022420 is an abundant number, since it is smaller than the sum of its proper divisors (267625737980).

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

242244022420 is a wasteful number, since it uses less digits than its factorization.

242244022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604 (or 12602 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 242244022420 its reverse (24220442242), we get a palindrome (266464464662).

The spelling of 242244022420 in words is "two hundred forty-two billion, two hundred forty-four million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 593 1186 2053 2372 2965 4106 5930 8212 9949 10265 11860 19898 20530 39796 41060 49745 99490 198980 1217429 2434858 4869716 5899757 6087145 11799514 12174290 20425297 23599028 24348580 29498785 40850594 58997570 81701188 102126485 117995140 204252970 408505940 12112201121 24224402242 48448804484 60561005605 121122011210 242244022420