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212537088 = 283397317
BaseRepresentation
bin11001010101100…
…00111100000000
3112210221000002000
430222300330000
5413402141323
633031224000
75160351441
oct1452607400
9483830060
10212537088
11a9a76295
125b218000
13350568ba
14203272c8
15139d3e43
hexcab0f00

212537088 has 144 divisors (see below), whose sum is σ = 636992160. Its totient is φ = 69894144.

The previous prime is 212537081. The next prime is 212537093. The reversal of 212537088 is 880735212.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212537081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670306 + ... + 670622.

Almost surely, 2212537088 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 212537088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318496080).

212537088 is an abundant number, since it is smaller than the sum of its proper divisors (424455072).

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

212537088 is an equidigital number, since it uses as much as digits as its factorization.

212537088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 212537088 is about 14578.6517895174. The cubic root of 212537088 is about 596.7763107321.

The spelling of 212537088 in words is "two hundred twelve million, five hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 128 144 192 194 216 256 288 291 317 384 388 432 576 582 634 768 776 864 873 951 1152 1164 1268 1552 1728 1746 1902 2304 2328 2536 2619 2853 3104 3456 3492 3804 4656 5072 5238 5706 6208 6912 6984 7608 8559 9312 10144 10476 11412 12416 13968 15216 17118 18624 20288 20952 22824 24832 27936 30432 30749 34236 37248 40576 41904 45648 55872 60864 61498 68472 74496 81152 83808 91296 92247 111744 121728 122996 136944 167616 182592 184494 223488 243456 245992 273888 276741 335232 365184 368988 491984 547776 553482 670464 730368 737976 830223 983968 1095552 1106964 1475952 1660446 1967936 2191104 2213928 2951904 3320892 3935872 4427856 5903808 6641784 7871744 8855712 11807616 13283568 17711424 23615232 26567136 35422848 53134272 70845696 106268544 212537088