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2422498968 = 2333313311093
BaseRepresentation
bin1001000001100100…
…0110011010011000
320020211100200212000
42100121012122120
514430124431333
61040214321000
7114013621131
oct22031063230
96224320760
102422498968
11103348a36a
12577359160
132c7b65656
1418da38c88
15e2a1c713
hex90646698

2422498968 has 128 divisors (see below), whose sum is σ = 6973593600. Its totient is φ = 778377600.

The previous prime is 2422498951. The next prime is 2422499071. The reversal of 2422498968 is 8698942242.

It is a super-2 number, since 2×24224989682 = 11737002499922130048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 2215830 + ... + 2216922.

It is an arithmetic number, because the mean of its divisors is an integer number (54481200).

Almost surely, 22422498968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422498968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486796800).

2422498968 is an abundant number, since it is smaller than the sum of its proper divisors (4551094632).

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

2422498968 is a wasteful number, since it uses less digits than its factorization.

2422498968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1460 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 2422498968 is about 49218.8883255199. Note that the first 3 decimals coincide. The cubic root of 2422498968 is about 1343.0366582015.

The spelling of 2422498968 in words is "two billion, four hundred twenty-two million, four hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 331 372 558 662 744 837 993 1093 1116 1324 1674 1986 2186 2232 2648 2979 3279 3348 3972 4372 5958 6558 6696 7944 8744 8937 9837 10261 11916 13116 17874 19674 20522 23832 26232 29511 30783 33883 35748 39348 41044 59022 61566 67766 71496 78696 82088 92349 101649 118044 123132 135532 184698 203298 236088 246264 271064 277047 304947 361783 369396 406596 554094 609894 723566 738792 813192 914841 1085349 1108188 1219788 1447132 1829682 2170698 2216376 2439576 2894264 3256047 3659364 4341396 6512094 7318728 8682792 9768141 11215273 13024188 19536282 22430546 26048376 33645819 39072564 44861092 67291638 78145128 89722184 100937457 134583276 201874914 269166552 302812371 403749828 605624742 807499656 1211249484 2422498968