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234022890264 = 233612112832677
BaseRepresentation
bin1101100111110011011…
…0011110101100011000
3211101001110100120212020
43121330312132230120
512313234324442024
6255301510414440
722623206513622
oct3317466365430
9741043316766
10234022890264
1190280903229
1239431961420
13190b6c8b7c7
14b48091bc12
15614a345979
hex367cd9eb18

234022890264 has 128 divisors (see below), whose sum is σ = 599801729280. Its totient is φ = 76066905600.

The previous prime is 234022890259. The next prime is 234022890347. The reversal of 234022890264 is 462098220432.

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, 87418494 + ... + 87421170.

It is an arithmetic number, because the mean of its divisors is an integer number (4685951010).

Almost surely, 2234022890264 is an apocalyptic number.

234022890264 is a gapful number since it is divisible by the number (24) 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 234022890264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299900864640).

234022890264 is an abundant number, since it is smaller than the sum of its proper divisors (365778839016).

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

234022890264 is a wasteful number, since it uses less digits than its factorization.

234022890264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 234022890264 in words is "two hundred thirty-four billion, twenty-two million, eight hundred ninety thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 211 244 283 366 422 488 566 633 732 844 849 1132 1266 1464 1688 1698 2264 2532 2677 3396 5064 5354 6792 8031 10708 12871 16062 17263 21416 25742 32124 34526 38613 51484 51789 59713 64248 69052 77226 102968 103578 119426 138104 154452 163297 179139 207156 238852 308904 326594 358278 414312 477704 489891 564847 653188 716556 757591 979782 1129694 1306376 1433112 1515182 1694541 1959564 2259388 2272773 3030364 3389082 3642493 3919128 4518776 4545546 6060728 6778164 7284986 9091092 10927479 13556328 14569972 18182184 21854958 29139944 34455667 43709916 46213051 68911334 87419832 92426102 103367001 137822668 138639153 159851701 184852204 206734002 275645336 277278306 319703402 369704408 413468004 479555103 554556612 639406804 826936008 959110206 1109113224 1278813608 1918220412 3836440824 9750953761 19501907522 29252861283 39003815044 58505722566 78007630088 117011445132 234022890264