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212429472 = 2532324789
BaseRepresentation
bin11001010100101…
…10101010100000
3112210201112110020
430222112222200
5413340220342
633025033440
75156422623
oct1452265240
9483645406
10212429472
11a9a02452
125b185880
1335019918
14202d9dba
15139b20ec
hexca96aa0

212429472 has 144 divisors (see below), whose sum is σ = 602017920. Its totient is φ = 65545216.

The previous prime is 212429461. The next prime is 212429473. The reversal of 212429472 is 274924212.

It is not an unprimeable number, because it can be changed into a prime (212429473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386804 + ... + 2386892.

It is an arithmetic number, because the mean of its divisors is an integer number (4180680).

Almost surely, 2212429472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212429472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301008960).

212429472 is an abundant number, since it is smaller than the sum of its proper divisors (389588448).

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

212429472 is a wasteful number, since it uses less digits than its factorization.

212429472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 164 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 212429472 is about 14574.9604459155. The cubic root of 212429472 is about 596.6755698487.

The spelling of 212429472 in words is "two hundred twelve million, four hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 69 89 92 94 96 138 141 178 184 188 267 276 282 356 368 376 529 534 552 564 712 736 752 1058 1068 1081 1104 1128 1424 1504 1587 2047 2116 2136 2162 2208 2256 2848 3174 3243 4094 4183 4232 4272 4324 4512 6141 6348 6486 8188 8366 8464 8544 8648 12282 12549 12696 12972 16376 16732 16928 17296 24564 24863 25098 25392 25944 32752 33464 34592 47081 49128 49726 50196 50784 51888 65504 66928 74589 94162 96209 98256 99452 100392 103776 133856 141243 149178 188324 192418 196512 198904 200784 282486 288627 298356 376648 384836 397808 401568 564972 577254 596712 753296 769672 795616 1129944 1154508 1193424 1506592 1539344 2212807 2259888 2309016 2386848 3078688 4425614 4519776 4618032 6638421 8851228 9236064 13276842 17702456 26553684 35404912 53107368 70809824 106214736 212429472