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2193136 = 241117733
BaseRepresentation
bin1000010111011011110000
311010102102021
420113123300
51030140021
6115001224
724432661
oct10273360
94112367
102193136
111268810
12899214
135ba31a
14411368
152d4c41
hex2176f0

2193136 has 40 divisors (see below), whose sum is σ = 4914864. Its totient is φ = 936960.

The previous prime is 2193127. The next prime is 2193137. The reversal of 2193136 is 6313912.

2193136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2193136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193137) 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 7 ways as a sum of consecutive naturals, for example, 2626 + ... + 3358.

22193136 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 2193136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457432).

2193136 is an abundant number, since it is smaller than the sum of its proper divisors (2721728).

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

2193136 is a wasteful number, since it uses less digits than its factorization.

2193136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The square root of 2193136 is about 1480.9240358641. The cubic root of 2193136 is about 129.9237422584.

The spelling of 2193136 in words is "two million, one hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 733 748 1466 1496 2932 2992 5864 8063 11728 12461 16126 24922 32252 49844 64504 99688 129008 137071 199376 274142 548284 1096568 2193136