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997228200 = 233522117877
BaseRepresentation
bin111011011100000…
…111111010101000
32120111110102220210
4323130013322220
54020242300300
6242542021120
733466204563
oct7334077250
92514412823
10997228200
11471a00341
12239b777a0
1312b7a9677
14966294da
155c835050
hex3b707ea8

997228200 has 96 divisors (see below), whose sum is σ = 3106452960. Its totient is φ = 264633600.

The previous prime is 997228171. The next prime is 997228213. The reversal of 997228200 is 2822799.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 122662 + ... + 130538.

It is an arithmetic number, because the mean of its divisors is an integer number (32358885).

Almost surely, 2997228200 is an apocalyptic number.

997228200 is the 16880-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553226480).

997228200 is an abundant number, since it is smaller than the sum of its proper divisors (2109224760).

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

997228200 is a wasteful number, since it uses less digits than its factorization.

997228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8107 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 997228200 is about 31578.9201841988. The cubic root of 997228200 is about 999.0752116969.

The spelling of 997228200 in words is "nine hundred ninety-seven million, two hundred twenty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 211 300 422 600 633 844 1055 1266 1688 2110 2532 3165 4220 5064 5275 6330 7877 8440 10550 12660 15754 15825 21100 23631 25320 31508 31650 39385 42200 47262 63016 63300 78770 94524 118155 126600 157540 189048 196925 236310 315080 393850 472620 590775 787700 945240 1181550 1575400 1662047 2363100 3324094 4726200 4986141 6648188 8310235 9972282 13296376 16620470 19944564 24930705 33240940 39889128 41551175 49861410 66481880 83102350 99722820 124653525 166204700 199445640 249307050 332409400 498614100 997228200