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234436622992 = 241121328133149
BaseRepresentation
bin1101101001010110000…
…0101111101010010000
3211102010021212101110121
43122111200233222100
512320111233413432
6255410530240024
722636362262525
oct3322540575220
9742107771417
10234436622992
11904733a8800
1239528426014
13191518ca980
14b4bd85914c
15617181d197
hex369582fa90

234436622992 has 120 divisors (see below), whose sum is σ = 539602572600. Its totient is φ = 98012006400.

The previous prime is 234436622939. The next prime is 234436622999. The reversal of 234436622992 is 299226634432.

It can be written as a sum of positive squares in 4 ways, for example, as 86414833296 + 148021789696 = 293964^2 + 384736^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (234436622999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7055634 + ... + 7088782.

It is an arithmetic number, because the mean of its divisors is an integer number (4496688105).

Almost surely, 2234436622992 is an apocalyptic number.

234436622992 is a gapful number since it is divisible by the number (22) 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 234436622992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269801286300).

234436622992 is an abundant number, since it is smaller than the sum of its proper divisors (305165949608).

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

234436622992 is a wasteful number, since it uses less digits than its factorization.

234436622992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33473 (or 33456 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 52.

The spelling of 234436622992 in words is "two hundred thirty-four billion, four hundred thirty-six million, six hundred twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 281 286 484 562 572 968 1124 1144 1573 1936 2248 2288 3091 3146 3653 4496 6182 6292 7306 12364 12584 14612 24728 25168 29224 33149 34001 40183 49456 58448 66298 68002 80366 132596 136004 160732 265192 272008 321464 364639 430937 442013 530384 544016 642928 729278 861874 884026 1458556 1723748 1768052 2917112 3447496 3536104 4011029 4740307 5834224 6894992 7072208 8022058 9314869 9480614 16044116 18629738 18961228 32088232 37259476 37922456 52143377 64176464 74518952 75844912 102463559 104286754 121093297 149037904 204927118 208573508 242186594 409854236 417147016 484373188 819708472 834294032 968746376 1127099149 1332026267 1639416944 1937492752 2254198298 2664052534 4508396596 5328105068 9016793192 10656210136 14652288937 18033586384 21312420272 29304577874 58609155748 117218311496 234436622992