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120236226 = 231123103769
BaseRepresentation
bin1110010101010…
…10100011000010
322101020122002120
413022222203002
5221240024401
615533025110
72656663635
oct712524302
9271218076
10120236226
1161963290
1234325196
131bbaa5c6
1411d7bc1c
15a850836
hex72aa8c2

120236226 has 64 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 34467840.

The previous prime is 120236209. The next prime is 120236239. The reversal of 120236226 is 622632021.

It is a junction number, because it is equal to n+sod(n) for n = 120236196 and 120236205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155970 + ... + 156738.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2120236226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120236226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

120236226 is an abundant number, since it is smaller than the sum of its proper divisors (156520254).

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

120236226 is a wasteful number, since it uses less digits than its factorization.

120236226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 120236226 is about 10965.2280414043. The cubic root of 120236226 is about 493.5658601714.

Adding to 120236226 its reverse (622632021), we get a palindrome (742868247).

The spelling of 120236226 in words is "one hundred twenty million, two hundred thirty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 103 138 206 253 309 506 618 759 769 1133 1518 1538 2266 2307 2369 3399 4614 4738 6798 7107 8459 14214 16918 17687 25377 26059 35374 50754 52118 53061 78177 79207 106122 156354 158414 194557 237621 389114 475242 583671 871277 1167342 1742554 1821761 2613831 3643522 5227662 5465283 10930566 20039371 40078742 60118113 120236226