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42219000 = 2332534691
BaseRepresentation
bin1010000100001…
…1010111111000
32221102221120200
42201003113320
541302002000
64104522200
71021566315
oct241032770
987387520
1042219000
112191683a
1212180360
138992875
14586dd0c
153a8e500
hex28435f8

42219000 has 96 divisors (see below), whose sum is σ = 142730640. Its totient is φ = 11256000.

The previous prime is 42218999. The next prime is 42219013. The reversal of 42219000 is 91224.

It is a super-2 number, since 2×422190002 = 3564887922000000, 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6655 + ... + 11345.

Almost surely, 242219000 is an apocalyptic number.

42219000 is a gapful number since it is divisible by the number (40) 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 42219000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71365320).

42219000 is an abundant number, since it is smaller than the sum of its proper divisors (100511640).

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

42219000 is a wasteful number, since it uses less digits than its factorization.

42219000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42219000 is about 6497.6149470402. The cubic root of 42219000 is about 348.2057839570.

The spelling of 42219000 in words is "forty-two million, two hundred nineteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 4691 9000 9382 14073 18764 23455 28146 37528 42219 46910 56292 70365 84438 93820 112584 117275 140730 168876 187640 211095 234550 281460 337752 351825 422190 469100 562920 586375 703650 844380 938200 1055475 1172750 1407300 1688760 1759125 2110950 2345500 2814600 3518250 4221900 4691000 5277375 7036500 8443800 10554750 14073000 21109500 42219000