Search a number
-
+
222531740640 = 2536511251691
BaseRepresentation
bin1100111100111111101…
…1001110001111100000
3210021101121201201000000
43033033323032033200
512121221111200030
6250121335300000
722035354404646
oct3171773161740
9707347651000
10222531740640
1186414403460
123716551a600
1317ca538a5a1
14aab071b196
155bc65da860
hex33cfece3e0

222531740640 has 672 divisors, whose sum is σ = 864569365632. Its totient is φ = 53654400000.

The previous prime is 222531740609. The next prime is 222531740713. The reversal of 222531740640 is 46047135222.

222531740640 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 3 + 1 + 7 + 4 + 0 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 222531740595 and 222531740604.

It is a congruent 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 111 ways as a sum of consecutive naturals, for example, 322042695 + ... + 322043385.

It is an arithmetic number, because the mean of its divisors is an integer number (1286561556).

Almost surely, 2222531740640 is an apocalyptic number.

222531740640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222531740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432284682816).

222531740640 is an abundant number, since it is smaller than the sum of its proper divisors (642037624992).

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

222531740640 is a wasteful number, since it uses less digits than its factorization.

222531740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 222531740640 its reverse (46047135222), we get a palindrome (268578875862).

The spelling of 222531740640 in words is "two hundred twenty-two billion, five hundred thirty-one million, seven hundred forty thousand, six hundred forty".