Search a number
-
+
22971480 = 23357232941
BaseRepresentation
bin101011110100…
…0010001011000
31121020001221120
41113220101120
521340041410
62140205240
7366153150
oct127502130
947201846
1022971480
1111a6a8a4
127839820
1349b3abc
14309d760
15203b570
hex15e8458

22971480 has 256 divisors, whose sum is σ = 87091200. Its totient is φ = 4730880.

The previous prime is 22971467. The next prime is 22971497. The reversal of 22971480 is 8417922.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560260 + ... + 560300.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 222971480 is an apocalyptic number.

22971480 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 22971480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

22971480 is an abundant number, since it is smaller than the sum of its proper divisors (64119720).

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

22971480 is a wasteful number, since it uses less digits than its factorization.

22971480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 22971480 is about 4792.8571854375. The cubic root of 22971480 is about 284.2691028639.

The spelling of 22971480 in words is "twenty-two million, nine hundred seventy-one thousand, four hundred eighty".