Search a number
-
+
122336082 = 234112792
BaseRepresentation
bin1110100101010…
…11001101010010
322112012022120000
413102223031102
5222304223312
620050030430
73013560651
oct722531522
9275168500
10122336082
1163067a00
1234b78416
131c46431b
1412367198
15ab17adc
hex74ab352

122336082 has 90 divisors (see below), whose sum is σ = 305171559. Its totient is φ = 36602280.

The previous prime is 122336059. The next prime is 122336099. The reversal of 122336082 is 280633221.

122336082 is a `hidden beast` number, since 1 + 22 + 33 + 608 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61168041 + 61168041 = 7821^2 + 7821^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7821.

It is a super-2 number, since 2×1223360822 = 29932233918221448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1548519 + ... + 1548597.

Almost surely, 2122336082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122336082

122336082 is an abundant number, since it is smaller than the sum of its proper divisors (182835477).

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

122336082 is an equidigital number, since it uses as much as digits as its factorization.

122336082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 122336082 is about 11060.5642713200. The cubic root of 122336082 is about 496.4225744310.

The spelling of 122336082 in words is "one hundred twenty-two million, three hundred thirty-six thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 81 99 121 158 162 198 237 242 297 363 474 594 711 726 869 891 1089 1422 1738 1782 2133 2178 2607 3267 4266 5214 6241 6399 6534 7821 9559 9801 12482 12798 15642 18723 19118 19602 23463 28677 37446 46926 56169 57354 68651 70389 86031 112338 137302 140778 168507 172062 205953 258093 337014 411906 505521 516186 617859 755161 774279 1011042 1235718 1510322 1548558 1853577 2265483 3707154 4530966 5560731 6796449 11121462 13592898 20389347 40778694 61168041 122336082