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122197000 = 2353891373
BaseRepresentation
bin1110100100010…
…01010000001000
322111221020202211
413102021100020
5222240301000
620043034504
73012441322
oct722112010
9274836684
10122197000
1162a82462
1234b0ba34
131c415c23
141232c612
15aadb7ba
hex7489408

122197000 has 64 divisors (see below), whose sum is σ = 289364400. Its totient is φ = 48294400.

The previous prime is 122196989. The next prime is 122197001. The reversal of 122197000 is 791221.

It can be written as a sum of positive squares in 8 ways, for example, as 14577124 + 107619876 = 3818^2 + 10374^2 .

It is not an unprimeable number, because it can be changed into a prime (122197001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88314 + ... + 89686.

Almost surely, 2122197000 is an apocalyptic number.

122197000 is a gapful number since it is divisible by the number (10) 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 122197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144682200).

122197000 is an abundant number, since it is smaller than the sum of its proper divisors (167167400).

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

122197000 is a wasteful number, since it uses less digits than its factorization.

122197000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 122197000 is about 11054.2751910743. The cubic root of 122197000 is about 496.2343780441.

The spelling of 122197000 in words is "one hundred twenty-two million, one hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 890 1000 1373 1780 2225 2746 3560 4450 5492 6865 8900 10984 11125 13730 17800 22250 27460 34325 44500 54920 68650 89000 122197 137300 171625 244394 274600 343250 488788 610985 686500 977576 1221970 1373000 2443940 3054925 4887880 6109850 12219700 15274625 24439400 30549250 61098500 122197000