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212431552 = 2619971801
BaseRepresentation
bin11001010100101…
…11001011000000
3112210201122022021
430222113023000
5413340302202
633025051224
75156431654
oct1452271300
9483648267
10212431552
11a9a03a73
125b186b14
133501a858
14202daa64
15139b2a37
hexca972c0

212431552 has 56 divisors (see below), whose sum is σ = 448553840. Its totient is φ = 99532800.

The previous prime is 212431547. The next prime is 212431573. The reversal of 212431552 is 255134212.

It is a super-3 number, since 3×2124315523 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117052 + ... + 118852.

It is an arithmetic number, because the mean of its divisors is an integer number (8009890).

Almost surely, 2212431552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224276920).

212431552 is an abundant number, since it is smaller than the sum of its proper divisors (236122288).

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

212431552 is a wasteful number, since it uses less digits than its factorization.

212431552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1919 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 212431552 is about 14575.0318009945. The cubic root of 212431552 is about 596.6775172890.

Adding to 212431552 its reverse (255134212), we get a palindrome (467565764).

The spelling of 212431552 in words is "two hundred twelve million, four hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 97 152 194 304 388 608 776 1216 1552 1801 1843 3104 3602 3686 6208 7204 7372 14408 14744 28816 29488 34219 57632 58976 68438 115264 117952 136876 174697 273752 349394 547504 698788 1095008 1397576 2190016 2795152 3319243 5590304 6638486 11180608 13276972 26553944 53107888 106215776 212431552