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221992428 = 223719367379
BaseRepresentation
bin11010011101101…
…01010111101100
3120110201101100210
431032311113230
5423312224203
634010022420
75333622150
oct1516652754
9513641323
10221992428
11104344219
1262417a10
1336cb7588
14216a9060
1514750803
hexd3b55ec

221992428 has 96 divisors (see below), whose sum is σ = 626483200. Its totient is φ = 59766336.

The previous prime is 221992427. The next prime is 221992439. The reversal of 221992428 is 824299122.

It is not an unprimeable number, because it can be changed into a prime (221992427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585543 + ... + 585921.

Almost surely, 2221992428 is an apocalyptic number.

221992428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221992428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313241600).

221992428 is an abundant number, since it is smaller than the sum of its proper divisors (404490772).

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

221992428 is a wasteful number, since it uses less digits than its factorization.

221992428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 221992428 is about 14899.4103239021. The cubic root of 221992428 is about 605.4980103640.

The spelling of 221992428 in words is "two hundred twenty-one million, nine hundred ninety-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 367 379 399 532 734 758 798 1101 1137 1468 1516 1596 2202 2274 2569 2653 4404 4548 5138 5306 6973 7201 7707 7959 10276 10612 13946 14402 15414 15918 20919 21603 27892 28804 30828 31836 41838 43206 48811 50407 83676 86412 97622 100814 139093 146433 151221 195244 201628 278186 292866 302442 417279 556372 585732 604884 834558 973651 1669116 1947302 2642767 2920953 3894604 5285534 5841906 7928301 10571068 11683812 15856602 18499369 31713204 36998738 55498107 73997476 110996214 221992428