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122230998 = 2332989877
BaseRepresentation
bin1110100100100…
…01100011010110
322111222222102000
413102101203112
5222242342443
620043500130
73012642411
oct722214326
9274888360
10122230998
1162aa5a5a
1234b27646
131c428546
141233ab78
15aae68d3
hex74918d6

122230998 has 64 divisors (see below), whose sum is σ = 284472000. Its totient is φ = 38852352.

The previous prime is 122230967. The next prime is 122231033. The reversal of 122230998 is 899032221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138936 + ... + 139812.

It is an arithmetic number, because the mean of its divisors is an integer number (4444875).

Almost surely, 2122230998 is an apocalyptic number.

122230998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122230998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142236000).

122230998 is an abundant number, since it is smaller than the sum of its proper divisors (162241002).

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

122230998 is a wasteful number, since it uses less digits than its factorization.

122230998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 122230998 is about 11055.8128602107. The cubic root of 122230998 is about 496.2803950276.

The spelling of 122230998 in words is "one hundred twenty-two million, two hundred thirty thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 89 174 178 261 267 522 534 783 801 877 1566 1602 1754 2403 2581 2631 4806 5162 5262 7743 7893 15486 15786 23229 23679 25433 46458 47358 50866 69687 76299 78053 139374 152598 156106 228897 234159 457794 468318 686691 702477 1373382 1404954 2107431 2263537 4214862 4527074 6790611 13581222 20371833 40743666 61115499 122230998