Search a number
-
+
214502532 = 223172414363
BaseRepresentation
bin11001100100100…
…00110010000100
3112221121212011020
430302100302010
5414403040112
633141311140
75213145546
oct1462206204
9487555136
10214502532
11100098a22
125ba054b0
133559439a
14206b9696
1513c7148c
hexcc90c84

214502532 has 48 divisors (see below), whose sum is σ = 532268352. Its totient is φ = 67000320.

The previous prime is 214502521. The next prime is 214502539. The reversal of 214502532 is 235205412.

It is a super-2 number, since 2×2145025322 = 92022672468822048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214502539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46983 + ... + 51345.

It is an arithmetic number, because the mean of its divisors is an integer number (11088924).

Almost surely, 2214502532 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 214502532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266134176).

214502532 is an abundant number, since it is smaller than the sum of its proper divisors (317765820).

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

214502532 is a wasteful number, since it uses less digits than its factorization.

214502532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 214502532 is about 14645.9049566765. The cubic root of 214502532 is about 598.6102389815.

Adding to 214502532 its reverse (235205412), we get a palindrome (449707944).

The spelling of 214502532 in words is "two hundred fourteen million, five hundred two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 241 482 723 964 1446 2892 4097 4363 8194 8726 12291 13089 16388 17452 24582 26178 49164 52356 74171 148342 222513 296684 445026 890052 1051483 2102966 3154449 4205932 6308898 12617796 17875211 35750422 53625633 71500844 107251266 214502532