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221142214032 = 2434607129459
BaseRepresentation
bin1100110111110100011…
…0100110010110010000
3210010210210002102211120
43031331012212112100
512110344401322112
6245331421042240
721656052542655
oct3157506462620
9703723072746
10221142214032
1185871018563
1236a380b6380
1317b13537cac
14a9bbd73c2c
155b44613e8c
hex337d1a6590

221142214032 has 20 divisors (see below), whose sum is σ = 571284053040. Its totient is φ = 73714071328.

The previous prime is 221142214003. The next prime is 221142214063. The reversal of 221142214032 is 230412241122.

221142214032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 221142213993 and 221142214011.

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 3 ways as a sum of consecutive naturals, for example, 2303564682 + ... + 2303564777.

It is an arithmetic number, because the mean of its divisors is an integer number (28564202652).

Almost surely, 2221142214032 is an apocalyptic number.

It is an amenable number.

221142214032 is an abundant number, since it is smaller than the sum of its proper divisors (350141839008).

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

221142214032 is a wasteful number, since it uses less digits than its factorization.

221142214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607129470 (or 4607129464 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221142214032 its reverse (230412241122), we get a palindrome (451554455154).

The spelling of 221142214032 in words is "two hundred twenty-one billion, one hundred forty-two million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 4607129459 9214258918 13821388377 18428517836 27642776754 36857035672 55285553508 73714071344 110571107016 221142214032