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22131900 = 22335271171
BaseRepresentation
bin101010001101…
…1010010111100
31112122102021000
41110123102330
521131210100
62110210300
7356055330
oct124332274
945572230
1022131900
111154702a
1274b3990
13477b8cb
142d217c0
151e22900
hex151b4bc

22131900 has 144 divisors (see below), whose sum is σ = 81383680. Its totient is φ = 5054400.

The previous prime is 22131887. The next prime is 22131913. The reversal of 22131900 is 913122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22131887) and next prime (22131913).

It is a super-2 number, since 2×221319002 = 979641995220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18315 + ... + 19485.

Almost surely, 222131900 is an apocalyptic number.

22131900 is a gapful number since it is divisible by the number (20) 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 22131900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40691840).

22131900 is an abundant number, since it is smaller than the sum of its proper divisors (59251780).

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

22131900 is a wasteful number, since it uses less digits than its factorization.

22131900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 22131900 is about 4704.4553351052. The cubic root of 22131900 is about 280.7628009748.

The spelling of 22131900 in words is "twenty-two million, one hundred thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1171 1260 1350 1575 1890 2100 2342 2700 3150 3513 3780 4684 4725 5855 6300 7026 8197 9450 10539 11710 14052 16394 17565 18900 21078 23420 24591 29275 31617 32788 35130 40985 42156 49182 52695 58550 63234 70260 73773 81970 87825 98364 105390 117100 122955 126468 147546 158085 163940 175650 204925 210780 221319 245910 263475 295092 316170 351300 368865 409850 442638 491820 526950 614775 632340 737730 790425 819700 885276 1053900 1106595 1229550 1475460 1580850 1844325 2213190 2459100 3161700 3688650 4426380 5532975 7377300 11065950 22131900