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212002434 = 2357101617
BaseRepresentation
bin11001010001011…
…10011010000010
3112202220211200000
430220232122002
5413233034214
633011540430
75152663620
oct1450563202
9482824600
10212002434
11a9740626
125abba716
1334bca437
1420228510
151392a809
hexca2e682

212002434 has 96 divisors (see below), whose sum is σ = 550682496. Its totient is φ = 59875200.

The previous prime is 212002433. The next prime is 212002447. The reversal of 212002434 is 434200212.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212002433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343294 + ... + 343910.

It is an arithmetic number, because the mean of its divisors is an integer number (5736276).

Almost surely, 2212002434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212002434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275341248).

212002434 is an abundant number, since it is smaller than the sum of its proper divisors (338680062).

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

212002434 is a wasteful number, since it uses less digits than its factorization.

212002434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212002434 is about 14560.3033622243. The cubic root of 212002434 is about 596.2754777294.

Adding to 212002434 its reverse (434200212), we get a palindrome (646202646).

The spelling of 212002434 in words is "two hundred twelve million, two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 101 126 162 189 202 243 303 378 486 567 606 617 707 909 1134 1234 1414 1701 1818 1851 2121 2727 3402 3702 4242 4319 5454 5553 6363 8181 8638 11106 12726 12957 16362 16659 19089 24543 25914 33318 38178 38871 49086 49977 57267 62317 77742 99954 114534 116613 124634 149931 171801 186951 233226 299862 343602 349839 373902 436219 560853 699678 872438 1049517 1121706 1308657 1682559 2099034 2617314 3365118 3925971 5047677 7851942 10095354 11777913 15143031 23555826 30286062 35333739 70667478 106001217 212002434