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212487072 = 2537316201
BaseRepresentation
bin11001010101001…
…00101110100000
3112210211110110120
430222210232200
5413344041242
633030200240
75160052560
oct1452445640
9483743416
10212487072
11a9a41756
125b1b3080
1335039bc5
1420312da0
15139c41ec
hexcaa4ba0

212487072 has 48 divisors (see below), whose sum is σ = 637463232. Its totient is φ = 60710400.

The previous prime is 212487061. The next prime is 212487139. The reversal of 212487072 is 270784212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157429 + ... + 158772.

It is an arithmetic number, because the mean of its divisors is an integer number (13280484).

Almost surely, 2212487072 is an apocalyptic number.

It is an amenable number.

212487072 is an abundant number, since it is smaller than the sum of its proper divisors (424976160).

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

212487072 is a wasteful number, since it uses less digits than its factorization.

212487072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316221 (or 316213 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 212487072 is about 14576.9363036270. The cubic root of 212487072 is about 596.7294942667.

The spelling of 212487072 in words is "two hundred twelve million, four hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 316201 632402 948603 1264804 1897206 2213407 2529608 3794412 4426814 5059216 6640221 7588824 8853628 10118432 13280442 15177648 17707256 26560884 30355296 35414512 53121768 70829024 106243536 212487072