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22116640 = 255731331
BaseRepresentation
bin101010001011…
…1100100100000
31112121122022211
41110113210200
521130213030
62110011504
7355663000
oct124274440
945548284
1022116640
1111536617
1274a6b94
134774990
142d1a000
151e1d12a
hex1517920

22116640 has 192 divisors, whose sum is σ = 67737600. Its totient is φ = 6773760.

The previous prime is 22116637. The next prime is 22116641. The reversal of 22116640 is 4661122.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22116641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713425 + ... + 713455.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 222116640 is an apocalyptic number.

22116640 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 22116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

22116640 is an abundant number, since it is smaller than the sum of its proper divisors (45620960).

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

22116640 is a wasteful number, since it uses less digits than its factorization.

22116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 22116640 is about 4702.8331886215. The cubic root of 22116640 is about 280.6982572554.

Adding to 22116640 its reverse (4661122), we get a palindrome (26777762).

It can be divided in two parts, 221 and 16640, that added together give a palindrome (16861).

The spelling of 22116640 in words is "twenty-two million, one hundred sixteen thousand, six hundred forty".