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212245242 = 231123891571
BaseRepresentation
bin11001010011010…
…01101011111010
3112210101011201220
430221221223322
5413313321432
633021052510
75155024536
oct1451515372
9483334656
10212245242
11a9896aa0
125b0b7136
1334c83b01
142028cbc6
151397772c
hexca69afa

212245242 has 64 divisors (see below), whose sum is σ = 488954880. Its totient is φ = 60790400.

The previous prime is 212245217. The next prime is 212245259. The reversal of 212245242 is 242542212.

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, 134317 + ... + 135887.

It is an arithmetic number, because the mean of its divisors is an integer number (7639920).

Almost surely, 2212245242 is an apocalyptic number.

212245242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212245242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244477440).

212245242 is an abundant number, since it is smaller than the sum of its proper divisors (276709638).

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

212245242 is a wasteful number, since it uses less digits than its factorization.

212245242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699.

The product of its digits is 2560, while the sum is 24.

The square root of 212245242 is about 14568.6389892811. The cubic root of 212245242 is about 596.5030304920.

Adding to 212245242 its reverse (242542212), we get a palindrome (454787454).

The spelling of 212245242 in words is "two hundred twelve million, two hundred forty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 89 138 178 253 267 506 534 759 979 1518 1571 1958 2047 2937 3142 4094 4713 5874 6141 9426 12282 17281 22517 34562 36133 45034 51843 67551 72266 103686 108399 135102 139819 216798 279638 397463 419457 794926 838914 1192389 1538009 2384778 3076018 3215837 4614027 6431674 9228054 9647511 19295022 35374207 70748414 106122621 212245242