Search a number
-
+
2197863360 = 2632571121753
BaseRepresentation
bin1000001100000000…
…1011101111000000
312200011200000201200
42003000023233000
514000123111420
61002031501200
7105315346620
oct20300135700
95604600650
102197863360
11a28700300
12514087800
13290463c84
1416bc82880
15cce48b90
hex8300bbc0

2197863360 has 1008 divisors, whose sum is σ = 10244864448. Its totient is φ = 421724160.

The previous prime is 2197863347. The next prime is 2197863383. The reversal of 2197863360 is 633687912.

2197863360 is a `hidden beast` number, since 2 + 1 + 9 + 7 + 8 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41469094 + ... + 41469146.

It is an arithmetic number, because the mean of its divisors is an integer number (10163556).

Almost surely, 22197863360 is an apocalyptic number.

2197863360 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 2197863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122432224).

2197863360 is an abundant number, since it is smaller than the sum of its proper divisors (8047001088).

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

2197863360 is a wasteful number, since it uses less digits than its factorization.

2197863360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2197863360 is about 46881.3754064447. The cubic root of 2197863360 is about 1300.1702656672.

The spelling of 2197863360 in words is "two billion, one hundred ninety-seven million, eight hundred sixty-three thousand, three hundred sixty".