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122201046 = 232112192953
BaseRepresentation
bin1110100100010…
…10001111010110
322111221110022200
413102022033112
5222240413141
620043105330
73012456162
oct722121726
9274843280
10122201046
1162a85500
1234b12246
131c417a16
141232dca2
15aadcab6
hex748a3d6

122201046 has 72 divisors (see below), whose sum is σ = 306447960. Its totient is φ = 35069760.

The previous prime is 122201003. The next prime is 122201059. The reversal of 122201046 is 640102221.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39906 + ... + 42858.

Almost surely, 2122201046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122201046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153223980).

122201046 is an abundant number, since it is smaller than the sum of its proper divisors (184246914).

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

122201046 is a wasteful number, since it uses less digits than its factorization.

122201046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122201046 is about 11054.4581956783. The cubic root of 122201046 is about 496.2398548347.

Adding to 122201046 its reverse (640102221), we get a palindrome (762303267).

The spelling of 122201046 in words is "one hundred twenty-two million, two hundred one thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1881 2178 2299 2953 3762 4598 5906 6897 8859 13794 17718 20691 26577 32483 41382 53154 56107 64966 97449 112214 168321 194898 292347 336642 357313 504963 584694 617177 714626 1009926 1071939 1234354 1851531 2143878 3215817 3703062 5554593 6431634 6788947 11109186 13577894 20366841 40733682 61100523 122201046