Search a number
-
+
2213132130 = 2325115342179
BaseRepresentation
bin1000001111101001…
…1011011101100010
312201020101202112200
42003322123131202
514013030212010
61003335034030
7105562212156
oct20372333542
95636352480
102213132130
11a36289a20
1251920b916
1329367ba51
1416dcd9066
15ce462cc0
hex83e9b762

2213132130 has 96 divisors (see below), whose sum is σ = 6395837760. Its totient is φ = 526381440.

The previous prime is 2213132123. The next prime is 2213132137. The reversal of 2213132130 is 312313122.

2213132130 is a `hidden beast` number, since 221 + 313 + 2 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (2213132123) and next prime (2213132137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2213132137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31381 + ... + 73559.

It is an arithmetic number, because the mean of its divisors is an integer number (66623310).

Almost surely, 22213132130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197918880).

2213132130 is an abundant number, since it is smaller than the sum of its proper divisors (4182705630).

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

2213132130 is a wasteful number, since it uses less digits than its factorization.

2213132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42256 (or 42253 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2213132130 is about 47043.9382917714. The cubic root of 2213132130 is about 1303.1741233315.

Adding to 2213132130 its reverse (312313122), we get a palindrome (2525445252).

The spelling of 2213132130 in words is "two billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 53 55 66 90 99 106 110 159 165 198 265 318 330 477 495 530 583 795 954 990 1166 1590 1749 2385 2915 3498 4770 5247 5830 8745 10494 17490 26235 42179 52470 84358 126537 210895 253074 379611 421790 463969 632685 759222 927938 1265370 1391907 1898055 2235487 2319845 2783814 3796110 4175721 4470974 4639690 6706461 6959535 8351442 11177435 13412922 13919070 20119383 20878605 22354870 24590357 33532305 40238766 41757210 49180714 67064610 73771071 100596915 122951785 147542142 201193830 221313213 245903570 368855355 442626426 737710710 1106566065 2213132130