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212098380 = 22351331609
BaseRepresentation
bin11001010010001…
…01110101001100
3112210002201021120
430221011311030
5413244122010
633014000540
75153543424
oct1451056514
9483081246
10212098380
11a97a671a
125b046150
1334c32000
1420251484
1513948e70
hexca45d4c

212098380 has 96 divisors (see below), whose sum is σ = 643742400. Its totient is φ = 52176384.

The previous prime is 212098339. The next prime is 212098417. The reversal of 212098380 is 83890212.

212098380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131016 + ... + 132624.

It is an arithmetic number, because the mean of its divisors is an integer number (6705650).

Almost surely, 2212098380 is an apocalyptic number.

212098380 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 212098380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321871200).

212098380 is an abundant number, since it is smaller than the sum of its proper divisors (431644020).

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

212098380 is a wasteful number, since it uses less digits than its factorization.

212098380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 212098380 is about 14563.5977697820. The cubic root of 212098380 is about 596.3654163487.

The spelling of 212098380 in words is "two hundred twelve million, ninety-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1609 1690 2028 2197 2535 3218 3380 4394 4827 5070 6436 6591 8045 8788 9654 10140 10985 13182 16090 19308 20917 21970 24135 26364 32180 32955 41834 43940 48270 62751 65910 83668 96540 104585 125502 131820 209170 251004 271921 313755 418340 543842 627510 815763 1087684 1255020 1359605 1631526 2719210 3263052 3534973 4078815 5438420 7069946 8157630 10604919 14139892 16315260 17674865 21209838 35349730 42419676 53024595 70699460 106049190 212098380