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122226390 = 232511139497
BaseRepresentation
bin1110100100100…
…00011011010110
322111222202002100
413102100123112
5222242221030
620043422530
73012623106
oct722203326
9274882070
10122226390
1162aa2550
1234b24a46
131c426410
1412339206
15aae5360
hex74906d6

122226390 has 96 divisors (see below), whose sum is σ = 373385376. Its totient is φ = 27348480.

The previous prime is 122226389. The next prime is 122226437. The reversal of 122226390 is 93622221.

122226390 is a `hidden beast` number, since 1 + 2 + 2 + 22 + 639 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 8122 + ... + 17618.

It is an arithmetic number, because the mean of its divisors is an integer number (3889431).

Almost surely, 2122226390 is an apocalyptic number.

122226390 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 122226390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186692688).

122226390 is an abundant number, since it is smaller than the sum of its proper divisors (251158986).

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

122226390 is a wasteful number, since it uses less digits than its factorization.

122226390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 122226390 is about 11055.6044610867. The cubic root of 122226390 is about 496.2741585060.

The spelling of 122226390 in words is "one hundred twenty-two million, two hundred twenty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1430 2145 2574 4290 6435 9497 12870 18994 28491 47485 56982 85473 94970 104467 123461 142455 170946 208934 246922 284910 313401 370383 427365 522335 617305 626802 740766 854730 940203 1044670 1111149 1234610 1358071 1567005 1851915 1880406 2222298 2716142 3134010 3703830 4074213 4701015 5555745 6790355 8148426 9402030 11111490 12222639 13580710 20371065 24445278 40742130 61113195 122226390