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2197383552 = 273471317137
BaseRepresentation
bin1000001011111001…
…0110100110000000
312200010202122120000
42002332112212000
514000012233202
61002013320000
7105311311020
oct20276264600
95603678500
102197383552
11a28402871
12513a96000
13290326770
1416bb99a80
15ccda191c
hex82f96980

2197383552 has 640 divisors, whose sum is σ = 8584107840. Its totient is φ = 541458432.

The previous prime is 2197383533. The next prime is 2197383577. The reversal of 2197383552 is 2553837912.

2197383552 is a `hidden beast` number, since 2 + 1 + 97 + 3 + 8 + 3 + 552 = 666.

Its product of digits (453600) is a multiple of the sum of its prime factors (200).

It is a junction number, because it is equal to n+sod(n) for n = 2197383498 and 2197383507.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 16039228 + ... + 16039364.

Almost surely, 22197383552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2197383552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292053920).

2197383552 is an abundant number, since it is smaller than the sum of its proper divisors (6386724288).

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

2197383552 is a wasteful number, since it uses less digits than its factorization.

2197383552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 2197383552 is about 46876.2578711228. The cubic root of 2197383552 is about 1300.0756468801.

The spelling of 2197383552 in words is "two billion, one hundred ninety-seven million, three hundred eighty-three thousand, five hundred fifty-two".