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212043440 = 245723101163
BaseRepresentation
bin11001010001110…
…00011010110000
3112202222220220202
430220320122300
5413240342230
633012454332
75153224310
oct1450703260
9482886822
10212043440
11a9769414
125b01a3a8
1334c12cbb
1420239440
1513937a45
hexca386b0

212043440 has 160 divisors (see below), whose sum is σ = 597390336. Its totient is φ = 68428800.

The previous prime is 212043427. The next prime is 212043451. The reversal of 212043440 is 44340212.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1300799 + ... + 1300961.

Almost surely, 2212043440 is an apocalyptic number.

212043440 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 212043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298695168).

212043440 is an abundant number, since it is smaller than the sum of its proper divisors (385346896).

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

212043440 is a wasteful number, since it uses less digits than its factorization.

212043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 212043440 is about 14561.7114378771. The cubic root of 212043440 is about 596.3139195773.

Adding to 212043440 its reverse (44340212), we get a palindrome (256383652).

The spelling of 212043440 in words is "two hundred twelve million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 101 112 115 140 161 163 184 202 230 280 322 326 368 404 460 505 560 644 652 707 805 808 815 920 1010 1141 1288 1304 1414 1610 1616 1630 1840 2020 2282 2323 2576 2608 2828 3220 3260 3535 3749 4040 4564 4646 5656 5705 6440 6520 7070 7498 8080 9128 9292 11312 11410 11615 12880 13040 14140 14996 16261 16463 18256 18584 18745 22820 23230 26243 28280 29992 32522 32926 37168 37490 45640 46460 52486 56560 59984 65044 65852 74980 81305 82315 91280 92920 104972 115241 130088 131215 131704 149960 162610 164630 185840 209944 230482 260176 262430 263408 299920 325220 329260 378649 419888 460964 524860 576205 650440 658520 757298 921928 1049720 1152410 1300880 1317040 1514596 1843856 1893245 2099440 2304820 2650543 3029192 3786490 4609640 5301086 6058384 7572980 9219280 10602172 13252715 15145960 21204344 26505430 30291920 42408688 53010860 106021720 212043440