Search a number
-
+
213475122 = 23371035483
BaseRepresentation
bin11001011100101…
…01111100110010
3112212200122211000
430232111330302
5414122200442
633103302430
75201336310
oct1456257462
9485618730
10213475122
11aa557023
125b5aaa16
13352c4853
14204cd0b0
1513b1bd4c
hexcb95f32

213475122 has 64 divisors (see below), whose sum is σ = 547522560. Its totient is φ = 60389712.

The previous prime is 213475117. The next prime is 213475147. The reversal of 213475122 is 221574312.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36193 + ... + 41675.

It is an arithmetic number, because the mean of its divisors is an integer number (8555040).

Almost surely, 2213475122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213475122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273761280).

213475122 is an abundant number, since it is smaller than the sum of its proper divisors (334047438).

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

213475122 is a wasteful number, since it uses less digits than its factorization.

213475122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5598 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 213475122 is about 14610.7878637670. The cubic root of 213475122 is about 597.6529811417.

The spelling of 213475122 in words is "two hundred thirteen million, four hundred seventy-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 103 126 189 206 309 378 618 721 927 1442 1854 2163 2781 4326 5483 5562 6489 10966 12978 16449 19467 32898 38381 38934 49347 76762 98694 115143 148041 230286 296082 345429 564749 690858 1036287 1129498 1694247 2072574 3388494 3953243 5082741 7906486 10165482 11859729 15248223 23719458 30496446 35579187 71158374 106737561 213475122