Search a number
-
+
222801840 = 2435573157
BaseRepresentation
bin11010100011110…
…10111110110000
3120112020111200000
431101322332300
5424014124330
634035230000
75343533022
oct1521727660
9515214600
10222801840
11104847358
1262748300
133720bb11
142183a012
1514860560
hexd47afb0

222801840 has 240 divisors, whose sum is σ = 791595168. Its totient is φ = 58226688.

The previous prime is 222801833. The next prime is 222801841. The reversal of 222801840 is 48108222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (222801841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1419042 + ... + 1419198.

Almost surely, 2222801840 is an apocalyptic number.

222801840 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 222801840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395797584).

222801840 is an abundant number, since it is smaller than the sum of its proper divisors (568793328).

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

222801840 is a wasteful number, since it uses less digits than its factorization.

222801840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 222801840 is about 14926.5481609111. The cubic root of 222801840 is about 606.2330247842.

The spelling of 222801840 in words is "two hundred twenty-two million, eight hundred one thousand, eight hundred forty".