Search a number
-
+
2223225152240 = 24543496390047
BaseRepresentation
bin100000010110100010100…
…010111010001011110000
321212112112101100111212012
4200112202202322023300
5242411131114332430
64421200250422052
7316423406664131
oct40264242721360
97775471314765
102223225152240
11787956703684
122baa61731928
13131859495281
147986730bc88
153cc703d8695
hex205a28ba2f0

2223225152240 has 40 divisors (see below), whose sum is σ = 5170187836800. Its totient is φ = 889085440256.

The previous prime is 2223225152209. The next prime is 2223225152279. The reversal of 2223225152240 is 422515223222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2223225152197 and 2223225152206.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2847104 + ... + 3542943.

It is an arithmetic number, because the mean of its divisors is an integer number (129254695920).

Almost surely, 22223225152240 is an apocalyptic number.

2223225152240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223225152240 is an abundant number, since it is smaller than the sum of its proper divisors (2946962684560).

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

2223225152240 is a wasteful number, since it uses less digits than its factorization.

2223225152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394409 (or 6394403 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 2223225152240 in words is "two trillion, two hundred twenty-three billion, two hundred twenty-five million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4349 8698 17396 21745 34792 43490 69584 86980 173960 347920 6390047 12780094 25560188 31950235 51120376 63900470 102240752 127800940 255601880 511203760 27790314403 55580628806 111161257612 138951572015 222322515224 277903144030 444645030448 555806288060 1111612576120 2223225152240