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212202474 = 231137113769
BaseRepresentation
bin11001010010111…
…11001111101010
3112210022000001220
430221133033222
5413310434344
633020122510
75154456051
oct1451371752
9483260056
10212202474
11a9867950
125b096436
1334c6a4c3
142027b398
1513969c19
hexca5f3ea

212202474 has 64 divisors (see below), whose sum is σ = 480332160. Its totient is φ = 61931520.

The previous prime is 212202461. The next prime is 212202481. The reversal of 212202474 is 474202212.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 275562 + ... + 276330.

It is an arithmetic number, because the mean of its divisors is an integer number (7505190).

Almost surely, 2212202474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212202474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240166080).

212202474 is an abundant number, since it is smaller than the sum of its proper divisors (268129686).

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

212202474 is a wasteful number, since it uses less digits than its factorization.

212202474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935.

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 212202474 is about 14567.1711049194. The cubic root of 212202474 is about 596.4629621335.

Adding to 212202474 its reverse (474202212), we get a palindrome (686404686).

The spelling of 212202474 in words is "two hundred twelve million, two hundred two thousand, four hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 113 222 226 339 407 678 769 814 1221 1243 1538 2307 2442 2486 3729 4181 4614 7458 8362 8459 12543 16918 25086 25377 28453 45991 50754 56906 85359 86897 91982 137973 170718 173794 260691 275946 312983 521382 625966 938949 955867 1877898 1911734 2867601 3215189 5735202 6430378 9645567 19291134 35367079 70734158 106101237 212202474