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2197152 = 25332543
BaseRepresentation
bin1000011000011010100000
311010121221000
420120122200
51030302102
6115032000
724450456
oct10303240
94117830
102197152
111270831
1289b600
135bc0b9
144129d6
152d601c
hex2186a0

2197152 has 48 divisors (see below), whose sum is σ = 6410880. Its totient is φ = 732096.

The previous prime is 2197087. The next prime is 2197157. The reversal of 2197152 is 2517912.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21971522 = 9654953822208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2197157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (133560).

22197152 is an apocalyptic number.

It is an amenable number.

2197152 is an abundant number, since it is smaller than the sum of its proper divisors (4213728).

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

2197152 is a wasteful number, since it uses less digits than its factorization.

2197152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2548 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 2197152 is about 1482.2793259032. The cubic root of 2197152 is about 130.0029979585.

The spelling of 2197152 in words is "two million, one hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2543 5086 7629 10172 15258 20344 22887 30516 40688 45774 61032 68661 81376 91548 122064 137322 183096 244128 274644 366192 549288 732384 1098576 2197152