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223157348156304 = 24361383192
BaseRepresentation
bin110010101111010111011110…
…011101110100001110010000
31002021010122010021200101000000
4302233113132131310032100
5213222202222112000204
62110341023120130000
765001405056012142
oct6257273635641620
91067118107611000
10223157348156304
1165117555374861
1221041480466900
139769855b16b33
143d16c323d2c92
151abec7c3d5039
hexcaf5de774390

223157348156304 has 105 divisors (see below), whose sum is σ = 648259181516523. Its totient is φ = 74385244934496.

The previous prime is 223157348156299. The next prime is 223157348156333. The reversal of 223157348156304 is 403651843751322.

The square root of 223157348156304 is 14938452.

It is a perfect power (a square), and thus also a powerful number.

223157348156304 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 5 + 73 + 4 + 8 + 1 + 563 + 0 + 4 = 666.

It is a super-3 number, since 3×2231573481563043 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1613283657 + ... + 1613421975.

Almost surely, 2223157348156304 is an apocalyptic number.

223157348156304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

223157348156304 is the 14938452-nd square number.

It is an amenable number.

223157348156304 is an abundant number, since it is smaller than the sum of its proper divisors (425101833360219).

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

223157348156304 is an frugal number, since it uses more digits than its factorization.

223157348156304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276664 (or 138324 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 223157348156304 in words is "two hundred twenty-three trillion, one hundred fifty-seven billion, three hundred forty-eight million, one hundred fifty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 138319 276638 414957 553276 829914 1106552 1244871 1659828 2213104 2489742 3319656 3734613 4979484 6639312 7469226 9958968 11203839 14938452 19917936 22407678 29876904 33611517 44815356 59753808 67223034 89630712 100834551 134446068 179261424 201669102 268892136 403338204 537784272 806676408 1613352816 19132145761 38264291522 57396437283 76528583044 114792874566 153057166088 172189311849 229585749132 306114332176 344378623698 459171498264 516567935547 688757247396 918342996528 1033135871094 1377514494792 1549703806641 2066271742188 2755028989584 3099407613282 4132543484376 4649111419923 6198815226564 8265086968752 9298222839846 12397630453128 13947334259769 18596445679692 24795260906256 27894668519538 37192891359384 55789337039076 74385782718768 111578674078152 223157348156304