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2197064832 = 2735721523
BaseRepresentation
bin1000001011110100…
…1000110010000000
312200010011110100120
42002331020302000
513444422033312
61002002420240
7105305512554
oct20275106200
95603143316
102197064832
11a28205366
12513961680
13290244681
1416bb15864
15ccd3c28c
hex82f48c80

2197064832 has 32 divisors (see below), whose sum is σ = 5835954480. Its totient is φ = 732354816.

The previous prime is 2197064789. The next prime is 2197064839. The reversal of 2197064832 is 2384607912.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×21970648322 = 9654187752022376448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2197064839) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2860378 + ... + 2861145.

Almost surely, 22197064832 is an apocalyptic number.

It is an amenable number.

2197064832 is an abundant number, since it is smaller than the sum of its proper divisors (3638889648).

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

2197064832 is an equidigital number, since it uses as much as digits as its factorization.

2197064832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721540 (or 5721528 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2197064832 is about 46872.8581590669. The cubic root of 2197064832 is about 1300.0127872509.

The spelling of 2197064832 in words is "two billion, one hundred ninety-seven million, sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5721523 11443046 17164569 22886092 34329138 45772184 68658276 91544368 137316552 183088736 274633104 366177472 549266208 732354944 1098532416 2197064832