Search a number
-
+
217472052 = 223713119763
BaseRepresentation
bin11001111011001…
…01110000110100
3120011012201120110
430331211300310
5421133101202
633325103020
75250324210
oct1475456064
9504181513
10217472052
11101836a76
12609b7a70
1336093bb5
1420c4d940
151415b26c
hexcf65c34

217472052 has 48 divisors (see below), whose sum is σ = 584381952. Its totient is φ = 61657440.

The previous prime is 217472029. The next prime is 217472071. The reversal of 217472052 is 250274712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123 + ... + 20885.

It is an arithmetic number, because the mean of its divisors is an integer number (12174624).

Almost surely, 2217472052 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 217472052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292190976).

217472052 is an abundant number, since it is smaller than the sum of its proper divisors (366909900).

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

217472052 is a wasteful number, since it uses less digits than its factorization.

217472052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19908 (or 19906 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 217472052 is about 14746.9336473723. The cubic root of 217472052 is about 601.3599264491.

The spelling of 217472052 in words is "two hundred seventeen million, four hundred seventy-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004 19763 39526 59289 79052 118578 138341 237156 276682 415023 553364 830046 1660092 2588953 5177906 7766859 10355812 15533718 18122671 31067436 36245342 54368013 72490684 108736026 217472052