226962000 has 240 divisors, whose sum is σ = 823822272. Its totient is φ = 60393600.

The previous prime is 226961993. The next prime is 226962007. The reversal of 226962000 is 269622.

It is an interprime number because it is at equal distance from previous prime (226961993) and next prime (226962007).

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

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226962007) 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, 485767 + ... + 486233.

Almost surely, 2^226962000 is an apocalyptic number.

226962000 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 226962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411911136).

226962000 is an abundant number, since it is smaller than the sum of its proper divisors (596860272).

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

226962000 is an equidigital number, since it uses as much as digits as its factorization.

226962000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 226962000 is about 15065.2580462467. The cubic root of 226962000 is about 609.9829790109.

The spelling of 226962000 in words is "two hundred twenty-six million, nine hundred sixty-two thousand".