Search a number
-
+
223492561920 = 21032543149757
BaseRepresentation
bin1101000000100100110…
…0011101110000000000
3210100212120200111000100
43100021030131300000
512130203043440140
6250400541122400
722101232301115
oct3201114356000
9710776614010
10223492561920
11868677a7731
1237393259400
13180c945a9a4
14ab6218a90c
155c30b2d530
hex340931dc00

223492561920 has 528 divisors, whose sum is σ = 798777064800. Its totient is φ = 57744949248.

The previous prime is 223492561889. The next prime is 223492561931. The reversal of 223492561920 is 29165294322.

223492561920 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 9 + 2 + 5 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295234182 + ... + 295234938.

It is an arithmetic number, because the mean of its divisors is an integer number (1512835350).

Almost surely, 2223492561920 is an apocalyptic number.

223492561920 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 223492561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399388532400).

223492561920 is an abundant number, since it is smaller than the sum of its proper divisors (575284502880).

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

223492561920 is a wasteful number, since it uses less digits than its factorization.

223492561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 223492561920 in words is "two hundred twenty-three billion, four hundred ninety-two million, five hundred sixty-one thousand, nine hundred twenty".