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120223422 = 232112172191
BaseRepresentation
bin1110010101001…
…11011010111110
322101012222112100
413022213122332
5221234122142
615532445530
72656611414
oct712473276
9271188470
10120223422
1161954700
12343198a6
131bba4827
1411d772b4
15a84bb4c
hex72a76be

120223422 has 108 divisors (see below), whose sum is σ = 305742528. Its totient is φ = 34108800.

The previous prime is 120223417. The next prime is 120223423. The reversal of 120223422 is 224322021.

120223422 is a `hidden beast` number, since 1 + 20 + 223 + 422 = 666.

It is a super-4 number, since 4×1202234224 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120223395 and 120223404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120223423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 629347 + ... + 629537.

Almost surely, 2120223422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120223422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152871264).

120223422 is an abundant number, since it is smaller than the sum of its proper divisors (185519106).

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

120223422 is a wasteful number, since it uses less digits than its factorization.

120223422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 120223422 is about 10964.6441802732. The cubic root of 120223422 is about 493.5483395460.

Adding to 120223422 its reverse (224322021), we get a palindrome (344545443).

The spelling of 120223422 in words is "one hundred twenty million, two hundred twenty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 191 198 242 289 306 363 374 382 561 573 578 726 867 1089 1122 1146 1683 1719 1734 2057 2101 2178 2601 3179 3247 3366 3438 4114 4202 5202 6171 6303 6358 6494 9537 9741 12342 12606 18513 18909 19074 19482 23111 28611 29223 34969 35717 37026 37818 46222 55199 57222 58446 69333 69938 71434 104907 107151 110398 138666 165597 207999 209814 214302 314721 321453 331194 392887 415998 496791 607189 629442 642906 785774 993582 1178661 1214378 1821567 2357322 3535983 3643134 5464701 6679079 7071966 10929402 13358158 20037237 40074474 60111711 120223422