Search a number
-
+
2221045025024 = 2879712777551
BaseRepresentation
bin100000010100100000100…
…110011000100100000000
321212022220110001120112202
4200110200212120210000
5242342200011300044
64420200051012332
7316315365134120
oct40244046304400
97768813046482
102221045025024
11786a38017851
122ba55359a0a8
1313159c901177
14796db964c80
153cb93ce4c4e
hex20520998900

2221045025024 has 72 divisors (see below), whose sum is σ = 5118993992448. Its totient is φ = 942063206400.

The previous prime is 2221045024997. The next prime is 2221045025029. The reversal of 2221045025024 is 4205205401222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2221045025029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6214952 + ... + 6562599.

It is an arithmetic number, because the mean of its divisors is an integer number (71097138784).

Almost surely, 22221045025024 is an apocalyptic number.

It is an amenable number.

2221045025024 is an abundant number, since it is smaller than the sum of its proper divisors (2897948967424).

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

2221045025024 is an equidigital number, since it uses as much as digits as its factorization.

2221045025024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12777671 (or 12777657 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The spelling of 2221045025024 in words is "two trillion, two hundred twenty-one billion, forty-five million, twenty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 128 194 224 256 388 448 679 776 896 1358 1552 1792 2716 3104 5432 6208 10864 12416 21728 24832 43456 86912 173824 12777551 25555102 51110204 89442857 102220408 178885714 204440816 357771428 408881632 715542856 817763264 1239422447 1431085712 1635526528 2478844894 2862171424 3271053056 4957689788 5724342848 8675957129 9915379576 11448685696 17351914258 19830759152 22897371392 34703828516 39661518304 69407657032 79323036608 138815314064 158646073216 277630628128 317292146432 555261256256 1110522512512 2221045025024