226001760 has 48 divisors (see below), whose sum is σ = 711907056. Its totient is φ = 60267008.

The previous prime is 226001759. The next prime is 226001761. The reversal of 226001760 is 67100622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (226001759) and next prime (226001761).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 226001760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226001761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234939 + ... + 235898.

It is an arithmetic number, because the mean of its divisors is an integer number (14831397).

Almost surely, 2^226001760 is an apocalyptic number.

226001760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226001760 is an abundant number, since it is smaller than the sum of its proper divisors (485905296).

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

226001760 is a wasteful number, since it uses less digits than its factorization.

226001760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470855 (or 470847 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 226001760 is about 15033.3549149882. The cubic root of 226001760 is about 609.1215160842.

The spelling of 226001760 in words is "two hundred twenty-six million, one thousand, seven hundred sixty".