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212122040 = 23513231379
BaseRepresentation
bin11001010010010…
…11100110111000
3112210010220201212
430221023212320
5413300401130
633014302252
75154002414
oct1451134670
9483126655
10212122040
11a9812479
125b057988
1334c3ca00
1420259d44
1513950e95
hexca4b9b8

212122040 has 48 divisors (see below), whose sum is σ = 516828600. Its totient is φ = 78319488.

The previous prime is 212122019. The next prime is 212122049. The reversal of 212122040 is 40221212.

212122040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8930 + ... + 22449.

Almost surely, 2212122040 is an apocalyptic number.

212122040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122040 is an abundant number, since it is smaller than the sum of its proper divisors (304706560).

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

212122040 is a wasteful number, since it uses less digits than its factorization.

212122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31416 (or 31399 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 212122040 is about 14564.4100464111. The cubic root of 212122040 is about 596.3875907772.

Adding to 212122040 its reverse (40221212), we get a palindrome (252343252).

The spelling of 212122040 in words is "two hundred twelve million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 31379 62758 125516 156895 251032 313790 407927 627580 815854 1255160 1631708 2039635 3263416 4079270 5303051 8158540 10606102 16317080 21212204 26515255 42424408 53030510 106061020 212122040