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212021992 = 23713243521
BaseRepresentation
bin11001010001100…
…11001011101000
3112202221211111101
430220303023220
5413234200432
633012211144
75153104630
oct1450631350
9482854441
10212021992
11a9754296
125b009ab4
1334c06300
14202316c0
15139314e7
hexca332e8

212021992 has 96 divisors (see below), whose sum is σ = 504377280. Its totient is φ = 81768960.

The previous prime is 212021983. The next prime is 212021993. The reversal of 212021992 is 299120212.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 212021992.

It is not an unprimeable number, because it can be changed into a prime (212021993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406692 + ... + 407212.

It is an arithmetic number, because the mean of its divisors is an integer number (5253930).

Almost surely, 2212021992 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 212021992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252188640).

212021992 is an abundant number, since it is smaller than the sum of its proper divisors (292355288).

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

212021992 is a wasteful number, since it uses less digits than its factorization.

212021992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 212021992 is about 14560.9749673571. The cubic root of 212021992 is about 596.2938133635.

The spelling of 212021992 in words is "two hundred twelve million, twenty-one thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 26 28 43 52 56 86 91 104 169 172 182 301 338 344 364 521 559 602 676 728 1042 1118 1183 1204 1352 2084 2236 2366 2408 3647 3913 4168 4472 4732 6773 7267 7294 7826 9464 13546 14534 14588 15652 22403 27092 29068 29176 31304 44806 47411 50869 54184 58136 88049 89612 94822 101738 156821 176098 179224 189644 203476 291239 313642 352196 379288 406952 582478 616343 627284 704392 1164956 1232686 1254568 2038673 2329912 2465372 3786107 4077346 4930744 7572214 8154692 15144428 16309384 26502749 30288856 53005498 106010996 212021992