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897228000 = 25325324923
BaseRepresentation
bin110101011110101…
…001110011100000
32022112021220102200
4311132221303200
53314142244000
6225010413200
731143212034
oct6536516340
92275256380
10897228000
11420509749
12210591200
13113b65a56
14872381c4
1553b80500
hex357a9ce0

897228000 has 144 divisors (see below), whose sum is σ = 3184389936. Its totient is φ = 239251200.

The previous prime is 897227993. The next prime is 897228019. The reversal of 897228000 is 822798.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 23539 + ... + 48461.

It is an arithmetic number, because the mean of its divisors is an integer number (22113819).

Almost surely, 2897228000 is an apocalyptic number.

897228000 is a gapful number since it is divisible by the number (80) 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 897228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592194968).

897228000 is an abundant number, since it is smaller than the sum of its proper divisors (2287161936).

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

897228000 is a wasteful number, since it uses less digits than its factorization.

897228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24954 (or 24933 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 897228000 is about 29953.7643711104. The cubic root of 897228000 is about 964.4971294238.

The spelling of 897228000 in words is "eight hundred ninety-seven million, two hundred twenty-eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 24923 36000 49846 74769 99692 124615 149538 199384 224307 249230 299076 373845 398768 448614 498460 598152 623075 747690 797536 897228 996920 1121535 1196304 1246150 1495380 1794456 1869225 1993840 2243070 2392608 2492300 2990760 3115375 3588912 3738450 3987680 4486140 4984600 5607675 5981520 6230750 7177824 7476900 8972280 9346125 9969200 11215350 11963040 12461500 14953800 17944560 18692250 19938400 22430700 24923000 28038375 29907600 35889120 37384500 44861400 49846000 56076750 59815200 74769000 89722800 99692000 112153500 149538000 179445600 224307000 299076000 448614000 897228000