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197121344 = 2672511753
BaseRepresentation
bin10111011111111…
…01010101000000
3111201220210122112
423233331111000
5400430340334
631320554452
74612334540
oct1357752500
9451823575
10197121344
11a12a7202
1256022a28
1331ab9c64
141c273320
151248b4ce
hexbbfd540

197121344 has 56 divisors (see below), whose sum is σ = 449080128. Its totient is φ = 84096000.

The previous prime is 197121329. The next prime is 197121361. The reversal of 197121344 is 443121791.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 197121344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111572 + ... + 113324.

It is an arithmetic number, because the mean of its divisors is an integer number (8019288).

Almost surely, 2197121344 is an apocalyptic number.

197121344 is a gapful number since it is divisible by the number (14) 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 197121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224540064).

197121344 is an abundant number, since it is smaller than the sum of its proper divisors (251958784).

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

197121344 is a wasteful number, since it uses less digits than its factorization.

197121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2013 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 197121344 is about 14039.9908831879. The cubic root of 197121344 is about 581.9842305887.

The spelling of 197121344 in words is "one hundred ninety-seven million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 251 448 502 1004 1753 1757 2008 3506 3514 4016 7012 7028 8032 12271 14024 14056 16064 24542 28048 28112 49084 56096 56224 98168 112192 112448 196336 392672 440003 785344 880006 1760012 3080021 3520024 6160042 7040048 12320084 14080096 24640168 28160192 49280336 98560672 197121344