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221121992 = 237131721051
BaseRepresentation
bin11010010111000…
…00110111001000
3120102002011100102
431023200313020
5423101400432
633535224532
75323335350
oct1513406710
9512064312
10221121992
111038aa253
1262078148
1336a71320
142151db60
151462c962
hexd2e0dc8

221121992 has 96 divisors (see below), whose sum is σ = 542579520. Its totient is φ = 82252800.

The previous prime is 221121919. The next prime is 221121997. The reversal of 221121992 is 299121122.

It is not an unprimeable number, because it can be changed into a prime (221121997) 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, 209867 + ... + 210917.

It is an arithmetic number, because the mean of its divisors is an integer number (5651870).

Almost surely, 2221121992 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 221121992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271289760).

221121992 is an abundant number, since it is smaller than the sum of its proper divisors (321457528).

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

221121992 is a wasteful number, since it uses less digits than its factorization.

221121992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1090 counting only the distinct ones).

The product of its digits is 1296, while the sum is 29.

The square root of 221121992 is about 14870.1712162302. The cubic root of 221121992 is about 604.7055845005.

The spelling of 221121992 in words is "two hundred twenty-one million, one hundred twenty-one thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 289 364 442 476 578 728 884 952 1051 1156 1547 1768 2023 2102 2312 3094 3757 4046 4204 6188 7357 7514 8092 8408 12376 13663 14714 15028 16184 17867 26299 27326 29428 30056 35734 52598 54652 58856 71468 95641 105196 109304 125069 142936 191282 210392 232271 250138 303739 382564 464542 500276 607478 765128 929084 1000552 1214956 1625897 1858168 2126173 2429912 3251794 3948607 4252346 6503588 7897214 8504692 13007176 15794428 17009384 27640249 31588856 55280498 110560996 221121992