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212942424 = 233191273677
BaseRepresentation
bin11001011000100…
…11111001011000
3112211200121002110
430230103321120
5414003124144
633044032320
75163660252
oct1454237130
9484617073
10212942424
11aa222882
125b3926a0
1335169246
14203d0cd2
1513a640b9
hexcb13e58

212942424 has 64 divisors (see below), whose sum is σ = 564940800. Its totient is φ = 66697344.

The previous prime is 212942423. The next prime is 212942453. The reversal of 212942424 is 424249212.

212942424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212942391 and 212942400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212942423) 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, 56074 + ... + 59750.

It is an arithmetic number, because the mean of its divisors is an integer number (8827200).

Almost surely, 2212942424 is an apocalyptic number.

212942424 is a gapful number since it is divisible by the number (24) 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 212942424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282470400).

212942424 is an abundant number, since it is smaller than the sum of its proper divisors (351998376).

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

212942424 is a wasteful number, since it uses less digits than its factorization.

212942424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3828 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 212942424 is about 14592.5468647526. The cubic root of 212942424 is about 597.1554466162.

The spelling of 212942424 in words is "two hundred twelve million, nine hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 381 456 508 762 1016 1524 2413 3048 3677 4826 7239 7354 9652 11031 14478 14708 19304 22062 28956 29416 44124 57912 69863 88248 139726 209589 279452 419178 466979 558904 838356 933958 1400937 1676712 1867916 2801874 3735832 5603748 8872601 11207496 17745202 26617803 35490404 53235606 70980808 106471212 212942424