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212035530 = 23572937941
BaseRepresentation
bin11001010001101…
…10011111001010
3112202222112001210
430220312133022
5413240114110
633012353550
75153162250
oct1450663712
9482875053
10212035530
11a9763483
125b0158b6
1334c0c515
14202365d0
1513935520
hexca367ca

212035530 has 128 divisors (see below), whose sum is σ = 618554880. Its totient is φ = 45480960.

The previous prime is 212035529. The next prime is 212035591. The reversal of 212035530 is 35530212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212035497 and 212035506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224860 + ... + 225800.

It is an arithmetic number, because the mean of its divisors is an integer number (4832460).

Almost surely, 2212035530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212035530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309277440).

212035530 is an abundant number, since it is smaller than the sum of its proper divisors (406519350).

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

212035530 is a wasteful number, since it uses less digits than its factorization.

212035530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 212035530 is about 14561.4398326539. The cubic root of 212035530 is about 596.3065045845.

Adding to 212035530 its reverse (35530212), we get a palindrome (247565742).

The spelling of 212035530 in words is "two hundred twelve million, thirty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 37 42 58 70 74 87 105 111 145 174 185 203 210 222 259 290 370 406 435 518 555 609 777 870 941 1015 1073 1110 1218 1295 1554 1882 2030 2146 2590 2823 3045 3219 3885 4705 5365 5646 6090 6438 6587 7511 7770 9410 10730 13174 14115 15022 16095 19761 22533 27289 28230 32190 32935 34817 37555 39522 45066 54578 65870 69634 75110 81867 98805 104451 112665 136445 163734 174085 191023 197610 208902 225330 243719 272890 348170 382046 409335 487438 522255 573069 731157 818670 955115 1009693 1044510 1146138 1218595 1462314 1910230 2019386 2437190 2865345 3029079 3655785 5048465 5730690 6058158 7067851 7311570 10096930 14135702 15145395 21203553 30290790 35339255 42407106 70678510 106017765 212035530