Search a number
-
+
622484226 = 2327133710271
BaseRepresentation
bin100101000110100…
…101101100000010
31121101022110211100
4211012211230002
52233323443401
6141433555230
721266012550
oct4506455402
91541273740
10622484226
1129a415681
12154575b16
139bc6b980
145c95abd0
15399aeb86
hex251a5b02

622484226 has 96 divisors (see below), whose sum is σ = 1704987648. Its totient is φ = 159719040.

The previous prime is 622484209. The next prime is 622484237.

622484226 is a `hidden beast` number, since 6 + 224 + 8 + 422 + 6 = 666.

622484226 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6224842262 = 774973223237638152, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55471 + ... + 65741.

It is an arithmetic number, because the mean of its divisors is an integer number (17760288).

Almost surely, 2622484226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 622484226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852493824).

622484226 is an abundant number, since it is smaller than the sum of its proper divisors (1082503422).

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

622484226 is a wasteful number, since it uses less digits than its factorization.

622484226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336 (or 10333 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 622484226 is about 24949.6337848875. The cubic root of 622484226 is about 853.8392538597.

The spelling of 622484226 in words is "six hundred twenty-two million, four hundred eighty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 63 74 78 91 111 117 126 182 222 234 259 273 333 481 518 546 666 777 819 962 1443 1554 1638 2331 2886 3367 4329 4662 6734 8658 10101 10271 20202 20542 30303 30813 60606 61626 71897 92439 133523 143794 184878 215691 267046 380027 400569 431382 647073 760054 801138 934661 1140081 1201707 1294146 1869322 2280162 2403414 2660189 2803983 3420243 4940351 5320378 5607966 6840486 7980567 8411949 9880702 14821053 15961134 16823898 23941701 29642106 34582457 44463159 47883402 69164914 88926318 103747371 207494742 311242113 622484226