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212035152 = 24372175303
BaseRepresentation
bin11001010001101…
…10011001010000
3112202222111112210
430220312121100
5413240111102
633012352120
75153161200
oct1450663120
9482874483
10212035152
11a976316a
125b015640
1334c0c2b4
1420236400
151393536c
hexca36650

212035152 has 120 divisors (see below), whose sum is σ = 674796096. Its totient is φ = 57007104.

The previous prime is 212035151. The next prime is 212035157. The reversal of 212035152 is 251530212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212035151) 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, 37333 + ... + 42635.

Almost surely, 2212035152 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 212035152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337398048).

212035152 is an abundant number, since it is smaller than the sum of its proper divisors (462760944).

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

212035152 is a wasteful number, since it uses less digits than its factorization.

212035152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 212035152 is about 14561.4268531624. The cubic root of 212035152 is about 596.3061502351.

Adding to 212035152 its reverse (251530212), we get a palindrome (463565364).

The spelling of 212035152 in words is "two hundred twelve million, thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2499 2856 3332 4998 5303 5712 6664 9996 10606 13328 15909 19992 21212 31818 37121 39984 42424 63636 74242 84848 90151 111363 127272 148484 180302 222726 254544 259847 270453 296968 360604 445452 519694 540906 593936 631057 721208 779541 890904 1039388 1081812 1262114 1442416 1559082 1781808 1893171 2078776 2163624 2524228 3118164 3786342 4157552 4327248 4417399 5048456 6236328 7572684 8834798 10096912 12472656 13252197 15145368 17669596 26504394 30290736 35339192 53008788 70678384 106017576 212035152