Search a number
-
+
217029132 = 223724809
BaseRepresentation
bin11001110111110…
…01101000001100
3120010101020000000
430323321220030
5421024413012
633311404300
75243500665
oct1473715014
9503336000
10217029132
11101564221
1260823690
1335c6a408
1420b7636c
15140beddc
hexcef9a0c

217029132 has 48 divisors (see below), whose sum is σ = 569637600. Its totient is φ = 72340128.

The previous prime is 217029101. The next prime is 217029149. The reversal of 217029132 is 231920712.

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

It is a junction number, because it is equal to n+sod(n) for n = 217029096 and 217029105.

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, 3657 + ... + 21152.

It is an arithmetic number, because the mean of its divisors is an integer number (11867450).

Almost surely, 2217029132 is an apocalyptic number.

It is an amenable number.

217029132 is an abundant number, since it is smaller than the sum of its proper divisors (352608468).

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

217029132 is an equidigital number, since it uses as much as digits as its factorization.

217029132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24834 (or 24814 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 217029132 is about 14731.9086339822. The cubic root of 217029132 is about 600.9513906291.

Adding to 217029132 its reverse (231920712), we get a palindrome (448949844).

The spelling of 217029132 in words is "two hundred seventeen million, twenty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 24809 49618 74427 99236 148854 223281 297708 446562 669843 893124 1339686 2009529 2679372 4019058 6028587 8038116 12057174 18085761 24114348 36171522 54257283 72343044 108514566 217029132