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2241233224002 = 233105145238731
BaseRepresentation
bin100000100111010011111…
…010010000000101000010
321221021000101201100021000
4200213103322100011002
5243210021201132002
64433335222112430
7320631564035103
oct40472372200502
97837011640230
102241233224002
117945577a9513
1230244857b716
13133469290836
147a694c3a3aa
153d47633861c
hex209d3e90142

2241233224002 has 64 divisors (see below), whose sum is σ = 4986930424320. Its totient is φ = 746116434000.

The previous prime is 2241233223997. The next prime is 2241233224037. The reversal of 2241233224002 is 2004223321422.

2241233224002 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 233 + 22 + 400 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 256693977 + ... + 256702707.

It is an arithmetic number, because the mean of its divisors is an integer number (77920787880).

Almost surely, 22241233224002 is an apocalyptic number.

2241233224002 is an abundant number, since it is smaller than the sum of its proper divisors (2745697200318).

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

2241233224002 is a wasteful number, since it uses less digits than its factorization.

2241233224002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14316 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2241233224002 its reverse (2004223321422), we get a palindrome (4245456545424).

The spelling of 2241233224002 in words is "two trillion, two hundred forty-one billion, two hundred thirty-three million, two hundred twenty-four thousand, two".

Divisors: 1 2 3 6 9 18 27 54 1051 2102 3153 4523 6306 8731 9046 9459 13569 17462 18918 26193 27138 28377 40707 52386 56754 78579 81414 122121 157158 235737 244242 471474 4753673 9176281 9507346 14261019 18352562 27528843 28522038 39490313 42783057 55057686 78980626 82586529 85566114 118470939 128349171 165173058 236941878 247759587 256698342 355412817 495519174 710825634 1066238451 2132476902 41504318963 83008637926 124512956889 249025913778 373538870667 747077741334 1120616612001 2241233224002