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122231190 = 23517613929
BaseRepresentation
bin1110100100100…
…01100110010110
322111222222200010
413102101212112
5222242344230
620043501050
73012643104
oct722214626
9274888603
10122231190
1162aa6114
1234b27786
131c428663
141233ac74
15aae69b0
hex7491996

122231190 has 64 divisors (see below), whose sum is σ = 315783360. Its totient is φ = 30167040.

The previous prime is 122231189. The next prime is 122231279. The reversal of 122231190 is 91132221.

It is a super-2 number, since 2×1222311902 = 29880927617632200, which contains 22 as substring.

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, 29146 + ... + 33074.

It is an arithmetic number, because the mean of its divisors is an integer number (4934115).

Almost surely, 2122231190 is an apocalyptic number.

122231190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122231190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157891680).

122231190 is an abundant number, since it is smaller than the sum of its proper divisors (193552170).

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

122231190 is a wasteful number, since it uses less digits than its factorization.

122231190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 122231190 is about 11055.8215434223. The cubic root of 122231190 is about 496.2806548793.

The spelling of 122231190 in words is "one hundred twenty-two million, two hundred thirty-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 61 85 102 122 170 183 255 305 366 510 610 915 1037 1830 2074 3111 3929 5185 6222 7858 10370 11787 15555 19645 23574 31110 39290 58935 66793 117870 133586 200379 239669 333965 400758 479338 667930 719007 1001895 1198345 1438014 2003790 2396690 3595035 4074373 7190070 8148746 12223119 20371865 24446238 40743730 61115595 122231190