Search a number
-
+
213155442 = 23331223571
BaseRepresentation
bin11001011010001…
…11111001110010
3112212002102022000
430231013321302
5414031433232
633052354430
75165535303
oct1455077162
9485072260
10213155442
11aa358925
125b475a16
13352121a6
14204487aa
1513aa727c
hexcb47e72

213155442 has 64 divisors (see below), whose sum is σ = 492011520. Its totient is φ = 68331600.

The previous prime is 213155441. The next prime is 213155461. The reversal of 213155442 is 244551312.

213155442 is a `hidden beast` number, since 213 + 1 + 5 + 5 + 442 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (213155441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373017 + ... + 373587.

It is an arithmetic number, because the mean of its divisors is an integer number (7687680).

Almost surely, 2213155442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213155442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246005760).

213155442 is an abundant number, since it is smaller than the sum of its proper divisors (278856078).

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

213155442 is a wasteful number, since it uses less digits than its factorization.

213155442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 213155442 is about 14599.8439032751. The cubic root of 213155442 is about 597.3545027170.

The spelling of 213155442 in words is "two hundred thirteen million, one hundred fifty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 223 279 446 558 571 669 837 1142 1338 1674 1713 2007 3426 4014 5139 6021 6913 10278 12042 13826 15417 17701 20739 30834 35402 41478 53103 62217 106206 124434 127333 159309 186651 254666 318618 373302 381999 477927 763998 955854 1145997 2291994 3437991 3947323 6875982 7894646 11841969 23683938 35525907 71051814 106577721 213155442