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202221300042 = 232191913095761
BaseRepresentation
bin1011110001010101010…
…1000010100101001010
3201022222011001102022100
42330111111002211022
511303122123100132
6232522120134230
720416142455266
oct2742525024512
9638864042270
10202221300042
1178841719863
1233237607376
13160b959a8b8
149b051050a6
1553d849c37c
hex2f1554294a

202221300042 has 48 divisors (see below), whose sum is σ = 463621317120. Its totient is φ = 63524995200.

The previous prime is 202221300041. The next prime is 202221300067. The reversal of 202221300042 is 240003122202.

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

It is a junction number, because it is equal to n+sod(n) for n = 202221299988 and 202221300024.

It is not an unprimeable number, because it can be changed into a prime (202221300041) 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 23 ways as a sum of consecutive naturals, for example, 1482559 + ... + 1613202.

It is an arithmetic number, because the mean of its divisors is an integer number (9658777440).

Almost surely, 2202221300042 is an apocalyptic number.

202221300042 is an abundant number, since it is smaller than the sum of its proper divisors (261400017078).

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

202221300042 is a wasteful number, since it uses less digits than its factorization.

202221300042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095979 (or 3095976 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202221300042 its reverse (240003122202), we get a palindrome (442224422244).

The spelling of 202221300042 in words is "two hundred two billion, two hundred twenty-one million, three hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 191 342 382 573 1146 1719 3438 3629 7258 10887 21774 32661 65322 3095761 6191522 9287283 18574566 27861849 55723698 58819459 117638918 176458377 352916754 529375131 591290351 1058750262 1182580702 1773871053 3547742106 5321613159 10643226318 11234516669 22469033338 33703550007 67407100014 101110650021 202221300042