Search a number
-
+
2197096320 = 27351783811
BaseRepresentation
bin1000001011110101…
…0000011110000000
312200010020001112210
42002331100132000
513444424040240
61002003222120
7105306003426
oct20275203600
95603201483
102197096320
11a28226a91
12513977940
13290255ac3
1416bb23116
15ccd46780
hex82f50780

2197096320 has 256 divisors, whose sum is σ = 7513793280. Its totient is φ = 544112640.

The previous prime is 2197096277. The next prime is 2197096333. The reversal of 2197096320 is 236907912.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2708715 + ... + 2709525.

It is an arithmetic number, because the mean of its divisors is an integer number (29350755).

Almost surely, 22197096320 is an apocalyptic number.

2197096320 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 2197096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756896640).

2197096320 is an abundant number, since it is smaller than the sum of its proper divisors (5316696960).

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

2197096320 is a wasteful number, since it uses less digits than its factorization.

2197096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 2197096320 is about 46873.1940452110. The cubic root of 2197096320 is about 1300.0189977500.

The spelling of 2197096320 in words is "two billion, one hundred ninety-seven million, ninety-six thousand, three hundred twenty".