Search a number
-
+
22670640 = 2432523372
BaseRepresentation
bin101011001111…
…0110100110000
31120122210021100
41112132310300
521300430030
62125524400
7363461106
oct126366460
946583240
1022670640
1111884873
127713700
134909ba5
143021c76
151ecc360
hex159ed30

22670640 has 180 divisors, whose sum is σ = 81651024. Its totient is φ = 5626368.

The previous prime is 22670611. The next prime is 22670647. The reversal of 22670640 is 4607622.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (22670647) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 612702 + ... + 612738.

Almost surely, 222670640 is an apocalyptic number.

22670640 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 22670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40825512).

22670640 is an abundant number, since it is smaller than the sum of its proper divisors (58980384).

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

22670640 is a wasteful number, since it uses less digits than its factorization.

22670640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 22670640 is about 4761.3695508750. The cubic root of 22670640 is about 283.0226937646.

The spelling of 22670640 in words is "twenty-two million, six hundred seventy thousand, six hundred forty".