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122198664 = 23374631571
BaseRepresentation
bin1110100100010…
…01101010001000
322111221100001110
413102021222020
5222240324124
620043050320
73012446220
oct722115210
9274840043
10122198664
1162a83735
1234b109a0
131c416903
141232d080
15aadc029
hex7489a88

122198664 has 64 divisors (see below), whose sum is σ = 350115840. Its totient is φ = 34816320.

The previous prime is 122198639. The next prime is 122198689. The reversal of 122198664 is 466891221.

It is an interprime number because it is at equal distance from previous prime (122198639) and next prime (122198689).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76999 + ... + 78569.

It is an arithmetic number, because the mean of its divisors is an integer number (5470560).

Almost surely, 2122198664 is an apocalyptic number.

122198664 is a gapful number since it is divisible by the number (14) 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 122198664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175057920).

122198664 is an abundant number, since it is smaller than the sum of its proper divisors (227917176).

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

122198664 is a wasteful number, since it uses less digits than its factorization.

122198664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2046 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 122198664 is about 11054.3504558160. The cubic root of 122198664 is about 496.2366305006.

The spelling of 122198664 in words is "one hundred twenty-two million, one hundred ninety-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 463 926 1389 1571 1852 2778 3142 3241 3704 4713 5556 6284 6482 9426 9723 10997 11112 12568 12964 18852 19446 21994 25928 32991 37704 38892 43988 65982 77784 87976 131964 263928 727373 1454746 2182119 2909492 4364238 5091611 5818984 8728476 10183222 15274833 17456952 20366444 30549666 40732888 61099332 122198664