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197105472 = 2632342197
BaseRepresentation
bin10111011111110…
…01011101000000
3111201212222212200
423233321131000
5400424333342
631320353200
74612240344
oct1357713500
9451788780
10197105472
11a1296293
1256015800
1331ab2975
141c26b624
151248694c
hexbbf9740

197105472 has 42 divisors (see below), whose sum is σ = 564968898. Its totient is φ = 65701632.

The previous prime is 197105459. The next prime is 197105477. The reversal of 197105472 is 274501791.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 156350016 + 40755456 = 12504^2 + 6384^2 .

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 (197105477) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 170523 + ... + 171674.

Almost surely, 2197105472 is an apocalyptic number.

197105472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

197105472 is an abundant number, since it is smaller than the sum of its proper divisors (367863426).

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

197105472 is a wasteful number, since it uses less digits than its factorization.

197105472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342215 (or 342202 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 197105472 is about 14039.4256292770. The cubic root of 197105472 is about 581.9686099200.

The spelling of 197105472 in words is "one hundred ninety-seven million, one hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 342197 684394 1026591 1368788 2053182 2737576 3079773 4106364 5475152 6159546 8212728 10950304 12319092 16425456 21900608 24638184 32850912 49276368 65701824 98552736 197105472