Search a number
-
+
2097235800 = 233552113923
BaseRepresentation
bin111110100000001…
…0100011101011000
312102011022121200000
41331000110131120
513243343021200
6544035013000
7102654132042
oct17500243530
95364277600
102097235800
11986920330
124a643a160
1327566093a
1415c76aa92
15c41bd300
hex7d014758

2097235800 has 288 divisors, whose sum is σ = 7970114880. Its totient is φ = 508291200.

The previous prime is 2097235747. The next prime is 2097235801. The reversal of 2097235800 is 85327902.

It is a happy number.

2097235800 is a `hidden beast` number, since 2 + 0 + 9 + 72 + 3 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097235801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 532639 + ... + 536561.

It is an arithmetic number, because the mean of its divisors is an integer number (27674010).

Almost surely, 22097235800 is an apocalyptic number.

2097235800 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 2097235800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985057440).

2097235800 is an abundant number, since it is smaller than the sum of its proper divisors (5872879080).

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

2097235800 is a wasteful number, since it uses less digits than its factorization.

2097235800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2097235800 is about 45795.5871236520. The cubic root of 2097235800 is about 1280.0170489266.

The spelling of 2097235800 in words is "two billion, ninety-seven million, two hundred thirty-five thousand, eight hundred".