Search a number
-
+
213649848 = 23322967359
BaseRepresentation
bin11001011110000…
…00100110111000
3112220000112111100
430233000212320
5414143243343
633111131400
75202664566
oct1457004670
9486015440
10213649848
11aa666325
125b673b60
1335356239
1420536a36
1513b539d3
hexcbc09b8

213649848 has 24 divisors (see below), whose sum is σ = 578635200. Its totient is φ = 71216592.

The previous prime is 213649819. The next prime is 213649853. The reversal of 213649848 is 848946312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1483608 + ... + 1483751.

It is an arithmetic number, because the mean of its divisors is an integer number (24109800).

Almost surely, 2213649848 is an apocalyptic number.

It is an amenable number.

213649848 is an abundant number, since it is smaller than the sum of its proper divisors (364985352).

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

213649848 is a wasteful number, since it uses less digits than its factorization.

213649848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967371 (or 2967364 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 213649848 is about 14616.7659897804. The cubic root of 213649848 is about 597.8159931694.

It can be divided in two parts, 2136 and 49848, that added together give a square (51984 = 2282).

The spelling of 213649848 in words is "two hundred thirteen million, six hundred forty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2967359 5934718 8902077 11869436 17804154 23738872 26706231 35608308 53412462 71216616 106824924 213649848