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21661992 = 2335111013
BaseRepresentation
bin101001010100…
…0100100101000
31111202112200000
41102220210220
521021140432
62052143000
7352060332
oct122504450
944675600
1021661992
1111255a80
127307a60
134645a61
142c3c452
151d7d57c
hex14a8928

21661992 has 96 divisors (see below), whose sum is σ = 66437280. Its totient is φ = 6557760.

The previous prime is 21661973. The next prime is 21661993. The reversal of 21661992 is 29916612.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21661993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20878 + ... + 21890.

It is an arithmetic number, because the mean of its divisors is an integer number (692055).

Almost surely, 221661992 is an apocalyptic number.

21661992 is a gapful number since it is divisible by the number (22) 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 21661992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33218640).

21661992 is an abundant number, since it is smaller than the sum of its proper divisors (44775288).

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

21661992 is a wasteful number, since it uses less digits than its factorization.

21661992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1029 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 21661992 is about 4654.2445144191. The cubic root of 21661992 is about 278.7615027394.

The spelling of 21661992 in words is "twenty-one million, six hundred sixty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1013 1188 1782 1944 2026 2376 2673 3039 3564 4052 5346 6078 7128 8104 9117 10692 11143 12156 18234 21384 22286 24312 27351 33429 36468 44572 54702 66858 72936 82053 89144 100287 109404 133716 164106 200574 218808 246159 267432 300861 328212 401148 492318 601722 656424 802296 902583 984636 1203444 1805166 1969272 2406888 2707749 3610332 5415498 7220664 10830996 21661992