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212512248 = 2336132803
BaseRepresentation
bin11001010101010…
…10110111111000
3112210212202000000
430222222313320
5413400342443
633030513000
75160216144
oct1452526770
9483782000
10212512248
11a9a59663
125b205760
13350484c0
142031c224
15139cb8d3
hexcaaadf8

212512248 has 112 divisors (see below), whose sum is σ = 643602120. Its totient is φ = 65365056.

The previous prime is 212512247. The next prime is 212512273. The reversal of 212512248 is 842215212.

It is a super-2 number, since 2×2125122482 = 90322911100027008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212512247) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 74415 + ... + 77217.

Almost surely, 2212512248 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 212512248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321801060).

212512248 is an abundant number, since it is smaller than the sum of its proper divisors (431089872).

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

212512248 is a wasteful number, since it uses less digits than its factorization.

212512248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2821 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 212512248 is about 14577.7998339942. The cubic root of 212512248 is about 596.7530606706.

The spelling of 212512248 in words is "two hundred twelve million, five hundred twelve thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2803 2808 2916 3159 4212 5606 5832 6318 8409 8424 9477 11212 12636 16818 18954 22424 25227 25272 33636 36439 37908 50454 67272 72878 75681 75816 100908 109317 145756 151362 201816 218634 227043 291512 302724 327951 437268 454086 605448 655902 681129 874536 908172 983853 1311804 1362258 1816344 1967706 2043387 2623608 2724516 2951559 3935412 4086774 5449032 5903118 7870824 8173548 8854677 11806236 16347096 17709354 23612472 26564031 35418708 53128062 70837416 106256124 212512248