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213224252340 = 223511476873767
BaseRepresentation
bin1100011010010100100…
…1111110001110110100
3202101100222001022100010
43012211021332032310
511443140402033330
6241542011420220
721255616145361
oct3064511761664
9671328038303
10213224252340
1182478593770
12353a8454670
1317150cb9c68
14a46a543468
15582e4213b0
hex31a527e3b4

213224252340 has 96 divisors (see below), whose sum is σ = 665160781824. Its totient is φ = 50590917760.

The previous prime is 213224252327. The next prime is 213224252357. The reversal of 213224252340 is 43252422312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213224252298 and 213224252307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3405864 + ... + 3467903.

It is an arithmetic number, because the mean of its divisors is an integer number (6928758144).

Almost surely, 2213224252340 is an apocalyptic number.

213224252340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213224252340 is an abundant number, since it is smaller than the sum of its proper divisors (451936529484).

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

213224252340 is a wasteful number, since it uses less digits than its factorization.

213224252340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6873837 (or 6873835 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 213224252340 its reverse (43252422312), we get a palindrome (256476674652).

It can be divided in two parts, 213224 and 252340, that added together give a palindrome (465564).

The spelling of 213224252340 in words is "two hundred thirteen billion, two hundred twenty-four million, two hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 15510 31020 6873767 13747534 20621301 27495068 34368835 41242602 68737670 75611437 82485204 103106505 137475340 151222874 206213010 226834311 302445748 323067049 378057185 412426020 453668622 646134098 756114370 907337244 969201147 1134171555 1292268196 1512228740 1615335245 1938402294 2268343110 3230670490 3553737539 3876804588 4536686220 4846005735 6461340980 7107475078 9692011470 10661212617 14214950156 17768687695 19384022940 21322425234 35537375390 42644850468 53306063085 71074750780 106612126170 213224252340