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234133044224 = 2105312793373
BaseRepresentation
bin1101101000001101101…
…0101011110000000000
3211101100010121222200112
43122003122223300000
512314001024403344
6255320443410452
722626015016322
oct3320332536000
9741303558615
10234133044224
1190327aaa562
1239462823a28
1319103a48c71
14b4913d3612
156154d53c9e
hex36836abc00

234133044224 has 88 divisors (see below), whose sum is σ = 477382671360. Its totient is φ = 114733891584.

The previous prime is 234133044203. The next prime is 234133044241. The reversal of 234133044224 is 422440331432.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69412202 + ... + 69415574.

Almost surely, 2234133044224 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 234133044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238691335680).

234133044224 is an abundant number, since it is smaller than the sum of its proper divisors (243249627136).

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

234133044224 is a wasteful number, since it uses less digits than its factorization.

234133044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 234133044224 its reverse (422440331432), we get a palindrome (656573375656).

The spelling of 234133044224 in words is "two hundred thirty-four billion, one hundred thirty-three million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1279 1696 2558 3373 3392 5116 6746 6784 10232 13492 13568 20464 26984 27136 40928 53968 54272 67787 81856 107936 135574 163712 178769 215872 271148 327424 357538 431744 542296 654848 715076 863488 1084592 1309696 1430152 1726976 2169184 2860304 3453952 4314067 4338368 5720608 8628134 8676736 11441216 17256268 17353472 22882432 34512536 34706944 45764864 69025072 69413888 91529728 138050144 183059456 228645551 276100288 457291102 552200576 914582204 1104401152 1829164408 2208802304 3658328816 4417604608 7316657632 14633315264 29266630528 58533261056 117066522112 234133044224