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2430223068 = 2237138326813
BaseRepresentation
bin1001000011011010…
…0100001011011100
320021100220010022210
42100312210023130
514434114114233
61041052040420
7114136361310
oct22066441334
96240803283
102430223068
111037885619
12579a63110
132c963b320
14190a89b40
15e3546163
hex90da42dc

2430223068 has 96 divisors (see below), whose sum is σ = 7063451136. Its totient is φ = 633192192.

The previous prime is 2430223013. The next prime is 2430223073. The reversal of 2430223068 is 8603220342.

It is a congruent number.

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, 77230 + ... + 104042.

It is an arithmetic number, because the mean of its divisors is an integer number (73577616).

Almost surely, 22430223068 is an apocalyptic number.

2430223068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430223068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531725568).

2430223068 is an abundant number, since it is smaller than the sum of its proper divisors (4633228068).

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

2430223068 is a wasteful number, since it uses less digits than its factorization.

2430223068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26923 (or 26921 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2430223068 is about 49297.2927045695. The cubic root of 2430223068 is about 1344.4625608975.

The spelling of 2430223068 in words is "two billion, four hundred thirty million, two hundred twenty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 83 84 91 156 166 182 249 273 332 364 498 546 581 996 1079 1092 1162 1743 2158 2324 3237 3486 4316 6474 6972 7553 12948 15106 22659 26813 30212 45318 53626 80439 90636 107252 160878 187691 321756 348569 375382 563073 697138 750764 1045707 1126146 1394276 2091414 2225479 2252292 2439983 4182828 4450958 4879966 6676437 7319949 8901916 9759932 13352874 14639898 15578353 26705748 28931227 29279796 31156706 46735059 57862454 62313412 86793681 93470118 115724908 173587362 186940236 202518589 347174724 405037178 607555767 810074356 1215111534 2430223068