Search a number
-
+
221283670134704 = 241715118732876509
BaseRepresentation
bin110010010100000110011110…
…100011011000111110110000
31002000111111211102220220112112
4302110012132203120332300
5213001002424023302304
62102344151545344452
764416134426423312
oct6224063643307660
91060444742826475
10221283670134704
1164564971a35031
122099a311498128
139661c6445a458
143c9028874d7b2
151a8b1693e6b6e
hexc9419e8d8fb0

221283670134704 has 80 divisors (see below), whose sum is σ = 457207411227840. Its totient is φ = 103388601139200.

The previous prime is 221283670134673. The next prime is 221283670134749. The reversal of 221283670134704 is 407431076382122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75489602 + ... + 78366110.

It is an arithmetic number, because the mean of its divisors is an integer number (5715092640348).

Almost surely, 2221283670134704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221283670134704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228603705613920).

221283670134704 is an abundant number, since it is smaller than the sum of its proper divisors (235923741093136).

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

221283670134704 is a wasteful number, since it uses less digits than its factorization.

221283670134704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878558 (or 2878552 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 50.

The spelling of 221283670134704 in words is "two hundred twenty-one trillion, two hundred eighty-three billion, six hundred seventy million, one hundred thirty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 151 272 302 604 1208 1873 2416 2567 3746 5134 7492 10268 14984 20536 29968 31841 41072 63682 127364 254728 282823 509456 565646 1131292 2262584 2876509 4525168 4807991 5753018 9615982 11506036 19231964 23012072 38463928 46024144 48900653 76927856 97801306 195602612 391205224 434352859 782410448 868705718 1737411436 3474822872 5387701357 6949645744 7383998603 10775402714 14767997206 21550805428 29535994412 43101610856 59071988824 86203221712 91590923069 118143977648 183181846138 366363692276 732727384552 813542904907 1465454769104 1627085809814 3254171619628 6508343239256 13016686478512 13830229383419 27660458766838 55320917533676 110641835067352 221283670134704