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122197840 = 2451639371
BaseRepresentation
bin1110100100010…
…01011101010000
322111221021220221
413102021131100
5222240312330
620043042424
73012443632
oct722113520
9274837827
10122197840
1162a83056
1234b10414
131c41641b
141232ca52
15aadbb7a
hex7489750

122197840 has 40 divisors (see below), whose sum is σ = 285883488. Its totient is φ = 48574080.

The previous prime is 122197837. The next prime is 122197843. The reversal of 122197840 is 48791221.

It is an interprime number because it is at equal distance from previous prime (122197837) and next prime (122197843).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 122197796 and 122197805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122197843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8355 + ... + 17725.

Almost surely, 2122197840 is an apocalyptic number.

122197840 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 122197840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142941744).

122197840 is an abundant number, since it is smaller than the sum of its proper divisors (163685648).

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

122197840 is a wasteful number, since it uses less digits than its factorization.

122197840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9547 (or 9541 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 122197840 is about 11054.3131853589. The cubic root of 122197840 is about 496.2355151040.

The spelling of 122197840 in words is "one hundred twenty-two million, one hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 2608 3260 6520 9371 13040 18742 37484 46855 74968 93710 149936 187420 374840 749680 1527473 3054946 6109892 7637365 12219784 15274730 24439568 30549460 61098920 122197840