Search a number
-
+
213230120 = 23543151821
BaseRepresentation
bin11001011010110…
…10001000101000
3112212020012201212
430231122020220
5414041330440
633054132252
75166266105
oct1455321050
9485205655
10213230120
11aa3a9a44
125b4b1088
133523a18c
1420467aac
1513abe465
hexcb5a228

213230120 has 64 divisors (see below), whose sum is σ = 494778240. Its totient is φ = 82656000.

The previous prime is 213230119. The next prime is 213230123. The reversal of 213230120 is 21032312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213230095 and 213230104.

It is not an unprimeable number, because it can be changed into a prime (213230123) 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, 259310 + ... + 260130.

It is an arithmetic number, because the mean of its divisors is an integer number (7730910).

Almost surely, 2213230120 is an apocalyptic number.

213230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247389120).

213230120 is an abundant number, since it is smaller than the sum of its proper divisors (281548120).

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

213230120 is a wasteful number, since it uses less digits than its factorization.

213230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213230120 is about 14602.4011724100. The cubic root of 213230120 is about 597.4242546792.

Adding to 213230120 its reverse (21032312), we get a palindrome (234262432).

The spelling of 213230120 in words is "two hundred thirteen million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 151 172 215 302 344 430 604 755 821 860 1208 1510 1642 1720 3020 3284 4105 6040 6493 6568 8210 12986 16420 25972 32465 32840 35303 51944 64930 70606 123971 129860 141212 176515 247942 259720 282424 353030 495884 619855 706060 991768 1239710 1412120 2479420 4958840 5330753 10661506 21323012 26653765 42646024 53307530 106615060 213230120