22827630 has 96 divisors (see below), whose sum is σ = 65155104. Its totient is φ = 5101824.

The previous prime is 22827619. The next prime is 22827641. The reversal of 22827630 is 3672822.

22827630 = T₇₅ + T₇₆ + ... + T₅₁₅.

22827630 = 120² + 121² + ... + 412².

It is an interprime number because it is at equal distance from previous prime (22827619) and next prime (22827641).

It is a super-2 number, since 2×22827630² = 1042201382833800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 77764 + ... + 78056.

It is an arithmetic number, because the mean of its divisors is an integer number (678699).

Almost surely, 2^22827630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22827630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32577552).

22827630 is an abundant number, since it is smaller than the sum of its proper divisors (42327474).

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

22827630 is a wasteful number, since it uses less digits than its factorization.

22827630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 22827630 is about 4777.8269118921. The cubic root of 22827630 is about 283.6744848761.

The spelling of 22827630 in words is "twenty-two million, eight hundred twenty-seven thousand, six hundred thirty".