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212554420 = 225132573181
BaseRepresentation
bin11001010101101…
…01001010110100
3112210221212211221
430222311022310
5413403220140
633031440124
75160453121
oct1452651264
9483855757
10212554420
11a9a88311
125b226044
1335061760
142032d748
15139d914a
hexcab52b4

212554420 has 48 divisors (see below), whose sum is σ = 482722128. Its totient is φ = 78151680.

The previous prime is 212554409. The next prime is 212554421. The reversal of 212554420 is 24455212.

212554420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7606564 + 204947856 = 2758^2 + 14316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212554421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65230 + ... + 68410.

It is an arithmetic number, because the mean of its divisors is an integer number (10056711).

Almost surely, 2212554420 is an apocalyptic number.

212554420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212554420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241361064).

212554420 is an abundant number, since it is smaller than the sum of its proper divisors (270167708).

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

212554420 is a wasteful number, since it uses less digits than its factorization.

212554420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 212554420 is about 14579.2462082235. The cubic root of 212554420 is about 596.7925322866.

The spelling of 212554420 in words is "two hundred twelve million, five hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 257 260 514 1028 1285 2570 3181 3341 5140 6362 6682 12724 13364 15905 16705 31810 33410 41353 63620 66820 82706 165412 206765 413530 817517 827060 1635034 3270068 4087585 8175170 10627721 16350340 21255442 42510884 53138605 106277210 212554420