55226000 has 80 divisors (see below), whose sum is σ = 136317168. Its totient is φ = 21632000.

The previous prime is 55225999. The next prime is 55226009. The reversal of 55226000 is 62255.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17673616 + 37552384 = 4204^2 + 6128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×55226000² = 6099822152000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55226009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105740 + ... + 106260.

Almost surely, 2^55226000 is an apocalyptic number.

55226000 is a gapful number since it is divisible by the number (50) 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 55226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68158584).

55226000 is an abundant number, since it is smaller than the sum of its proper divisors (81091168).

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

55226000 is a wasteful number, since it uses less digits than its factorization.

55226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 55226000 is about 7431.4197835945. The cubic root of 55226000 is about 380.8154234861.

Adding to 55226000 its reverse (62255), we get a palindrome (55288255).

The spelling of 55226000 in words is "fifty-five million, two hundred twenty-six thousand".