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212887020 = 223519186743
BaseRepresentation
bin11001011000001…
…10010111101100
3112211120210002110
430230012113230
5413444341040
633042524020
75163336603
oct1454062754
9484523073
10212887020
11aa195195
125b366610
1335149c68
14203b8a3a
1513a52980
hexcb065ec

212887020 has 48 divisors (see below), whose sum is σ = 627459840. Its totient is φ = 53781696.

The previous prime is 212887019. The next prime is 212887043. The reversal of 212887020 is 20788212.

It is a happy number.

212887020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92232 + ... + 94511.

It is an arithmetic number, because the mean of its divisors is an integer number (13072080).

Almost surely, 2212887020 is an apocalyptic number.

212887020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212887020 is an abundant number, since it is smaller than the sum of its proper divisors (414572820).

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

212887020 is a wasteful number, since it uses less digits than its factorization.

212887020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186774 (or 186772 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 212887020 is about 14590.6483749010. The cubic root of 212887020 is about 597.1036522242.

The spelling of 212887020 in words is "two hundred twelve million, eight hundred eighty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 186743 373486 560229 746972 933715 1120458 1867430 2240916 2801145 3548117 3734860 5602290 7096234 10644351 11204580 14192468 17740585 21288702 35481170 42577404 53221755 70962340 106443510 212887020