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212054260 = 225111731259
BaseRepresentation
bin11001010001110…
…11000011110100
3112210000110202111
430220323003310
5413241214020
633013020404
75153300665
oct1450730364
9483013674
10212054260
11a9776560
125b024704
1334c17bc2
142023d36c
151393ad5a
hexca3b0f4

212054260 has 144 divisors (see below), whose sum is σ = 540509760. Its totient is φ = 69043200.

The previous prime is 212054257. The next prime is 212054261. The reversal of 212054260 is 62450212.

212054260 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212054261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3594111 + ... + 3594169.

It is an arithmetic number, because the mean of its divisors is an integer number (3753540).

Almost surely, 2212054260 is an apocalyptic number.

212054260 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 212054260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270254880).

212054260 is an abundant number, since it is smaller than the sum of its proper divisors (328455500).

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

212054260 is a wasteful number, since it uses less digits than its factorization.

212054260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 212054260 is about 14562.0829554017. The cubic root of 212054260 is about 596.3240621639.

The spelling of 212054260 in words is "two hundred twelve million, fifty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 31 34 44 55 59 62 68 85 110 118 124 155 170 187 220 236 295 310 340 341 374 527 590 620 649 682 748 935 961 1003 1054 1180 1298 1364 1705 1829 1870 1922 2006 2108 2596 2635 3245 3410 3658 3740 3844 4012 4805 5015 5270 5797 6490 6820 7316 9145 9610 10030 10540 10571 11033 11594 12980 16337 18290 19220 20060 20119 21142 22066 23188 28985 31093 32674 36580 40238 42284 44132 52855 55165 56699 57970 62186 65348 80476 81685 100595 105710 110330 113398 115940 124372 155465 163370 179707 201190 211420 220660 226796 283495 310930 326740 342023 359414 402380 566990 621860 623689 684046 718828 898535 963883 1133980 1247378 1368092 1710115 1797070 1927766 2494756 3118445 3420230 3594140 3855532 4819415 6236890 6840460 9638830 10602713 12473780 19277660 21205426 42410852 53013565 106027130 212054260