Search a number
-
+
92221920 = 25325721307
BaseRepresentation
bin1010111111100…
…11000111100000
320102112100200200
411133303013200
5142102100140
613052345200
72166605400
oct537630740
9212470620
1092221920
114806976a
1226a75200
131614c3ab
14c368800
15816a030
hex57f31e0

92221920 has 216 divisors, whose sum is σ = 366368184. Its totient is φ = 21063168.

The previous prime is 92221907. The next prime is 92221937. The reversal of 92221920 is 2912229.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69907 + ... + 71213.

It is an arithmetic number, because the mean of its divisors is an integer number (1696149).

Almost surely, 292221920 is an apocalyptic number.

92221920 is a gapful number since it is divisible by the number (90) 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 92221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183184092).

92221920 is an abundant number, since it is smaller than the sum of its proper divisors (274146264).

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

92221920 is a wasteful number, since it uses less digits than its factorization.

92221920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 92221920 is about 9603.2244584827. The cubic root of 92221920 is about 451.7984325885.

The spelling of 92221920 in words is "ninety-two million, two hundred twenty-one thousand, nine hundred twenty".