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228517985024 = 2873118122727
BaseRepresentation
bin1101010011010010111…
…0111011101100000000
3210211211210220102111222
43110310232323230000
512221001101010044
6252551341254212
722336613552330
oct3246456735400
9724753812458
10228517985024
1188a0649946a
1238356264368
131871a64b224
14b0bb7890c0
155e26e078ee
hex3534bbbb00

228517985024 has 144 divisors (see below), whose sum is σ = 541119860736. Its totient is φ = 94249267200.

The previous prime is 228517984997. The next prime is 228517985027. The reversal of 228517985024 is 420589715822.

228517985024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228517985027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10043549 + ... + 10066275.

Almost surely, 2228517985024 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 228517985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270559930368).

228517985024 is an abundant number, since it is smaller than the sum of its proper divisors (312601875712).

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

228517985024 is a wasteful number, since it uses less digits than its factorization.

228517985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22962 (or 22948 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 53.

The spelling of 228517985024 in words is "two hundred twenty-eight billion, five hundred seventeen million, nine hundred eighty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 181 217 224 248 256 362 434 448 496 724 868 896 992 1267 1448 1736 1792 1984 2534 2896 3472 3968 5068 5611 5792 6944 7936 10136 11222 11584 13888 20272 22444 22727 23168 27776 39277 40544 44888 45454 46336 55552 78554 81088 89776 90908 157108 159089 162176 179552 181816 314216 318178 324352 359104 363632 628432 636356 704537 718208 727264 1256864 1272712 1409074 1436416 1454528 2513728 2545424 2818148 2909056 4113587 4931759 5027456 5090848 5636296 5818112 8227174 9863518 10054912 10181696 11272592 16454348 19727036 20363392 22545184 28795109 32908696 39454072 40726784 45090368 57590218 65817392 78908144 90180736 115180436 127521197 131634784 157816288 180361472 230360872 255042394 263269568 315632576 460721744 510084788 526539136 631265152 892648379 921443488 1020169576 1053078272 1262530304 1785296758 1842886976 2040339152 3570593516 3685773952 4080678304 7141187032 7371547904 8161356608 14282374064 16322713216 28564748128 32645426432 57129496256 114258992512 228517985024