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212954980 = 2257337839
BaseRepresentation
bin11001011000101…
…10111101100100
3112211201020022111
430230112331210
5414004024410
633044210404
75164042000
oct1454267544
9484636274
10212954980
11aa231257
125b399a04
1335171b84
14203d5700
1513a67b8a
hexcb16f64

212954980 has 96 divisors (see below), whose sum is σ = 536256000. Its totient is φ = 70955136.

The previous prime is 212954977. The next prime is 212955019. The reversal of 212954980 is 89459212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253401 + ... + 254239.

It is an arithmetic number, because the mean of its divisors is an integer number (5586000).

Almost surely, 2212954980 is an apocalyptic number.

212954980 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 212954980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128000).

212954980 is an abundant number, since it is smaller than the sum of its proper divisors (323301020).

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

212954980 is a wasteful number, since it uses less digits than its factorization.

212954980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 212954980 is about 14592.9770780331. The cubic root of 212954980 is about 597.1671833356.

The spelling of 212954980 in words is "two hundred twelve million, nine hundred fifty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 343 370 490 518 686 740 839 980 1036 1295 1372 1678 1715 1813 2590 3356 3430 3626 4195 5180 5873 6860 7252 8390 9065 11746 12691 16780 18130 23492 25382 29365 31043 36260 41111 50764 58730 62086 63455 82222 117460 124172 126910 155215 164444 205555 217301 253820 287777 310430 411110 434602 575554 620860 822220 869204 1086505 1151108 1438885 1521107 2173010 2877770 3042214 4346020 5755540 6084428 7605535 10647749 15211070 21295498 30422140 42590996 53238745 106477490 212954980