Search a number
-
+
2074919700 = 22352721719223
BaseRepresentation
bin111101110101100…
…1100001100010100
312100121022211201210
41323223030030110
513222134412300
6541520421420
7102263345400
oct17353141424
95317284653
102074919700
11975268977
1249aa77870
13270b49249
141597dc100
15c2261050
hex7bacc314

2074919700 has 648 divisors, whose sum is σ = 8143353792. Its totient is φ = 404490240.

The previous prime is 2074919689. The next prime is 2074919701. The reversal of 2074919700 is 79194702.

It is a super-2 number, since 2×20749197002 = 8610583522896180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074919701) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 90213889 + ... + 90213911.

It is an arithmetic number, because the mean of its divisors is an integer number (12566904).

Almost surely, 22074919700 is an apocalyptic number.

2074919700 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 2074919700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071676896).

2074919700 is an abundant number, since it is smaller than the sum of its proper divisors (6068434092).

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

2074919700 is a wasteful number, since it uses less digits than its factorization.

2074919700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 2074919700 is about 45551.2864801863. The cubic root of 2074919700 is about 1275.4607485113.

The spelling of 2074919700 in words is "two billion, seventy-four million, nine hundred nineteen thousand, seven hundred".