Search a number
-
+
234520748224 = 2675930728901
BaseRepresentation
bin1101101001101010000…
…1101010000011000000
3211102100011011101120221
43122122201222003000
512320244302420344
6255423133312424
722641433316560
oct3323241520300
9742304141527
10234520748224
1190506937294
1239550635714
1319166173909
14b4caab6da0
156178dd9184
hex369a86a0c0

234520748224 has 112 divisors (see below), whose sum is σ = 542654703360. Its totient is φ = 98480102400.

The previous prime is 234520748221. The next prime is 234520748249. The reversal of 234520748224 is 422847025432.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×2345207482243 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (234520748221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8100174 + ... + 8129074.

It is an arithmetic number, because the mean of its divisors is an integer number (4845131280).

Almost surely, 2234520748224 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 234520748224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271327351680).

234520748224 is an abundant number, since it is smaller than the sum of its proper divisors (308133955136).

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

234520748224 is a wasteful number, since it uses less digits than its factorization.

234520748224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29286 (or 29276 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 43.

The spelling of 234520748224 in words is "two hundred thirty-four billion, five hundred twenty million, seven hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 307 413 448 472 614 826 944 1228 1652 1888 2149 2456 3304 3776 4298 4912 6608 8596 9824 13216 17192 18113 19648 26432 28901 34384 36226 57802 68768 72452 115604 126791 137536 144904 202307 231208 253582 289808 404614 462416 507164 579616 809228 924832 1014328 1159232 1618456 1705159 1849664 2028656 3236912 3410318 4057312 6473824 6820636 8114624 8872607 11936113 12947648 13641272 17745214 23872226 27282544 35490428 47744452 54565088 62108249 70980856 95488904 109130176 124216498 141961712 190977808 248432996 283923424 381955616 496865992 523483813 567846848 763911232 993731984 1046967626 1987463968 2093935252 3664386691 3974927936 4187870504 7328773382 8375741008 14657546764 16751482016 29315093528 33502964032 58630187056 117260374112 234520748224