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227048343120 = 24325569554209
BaseRepresentation
bin1101001101110100100…
…0101100011001010000
3210201001101111212211100
43103131020230121100
512204443333434440
6252145441544400
722255320034134
oct3233510543120
9721041455740
10227048343120
1188321963785
1238006045100
1318545027c31
14adbc5093c4
155d8cda8230
hex34dd22c650

227048343120 has 120 divisors (see below), whose sum is σ = 763845474600. Its totient is φ = 60439707648.

The previous prime is 227048343043. The next prime is 227048343157. The reversal of 227048343120 is 21343840722.

It is a happy number.

227048343120 is a `hidden beast` number, since 2 + 270 + 48 + 34 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2815788096 + 224232555024 = 53064^2 + 473532^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2270483431202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132576 + ... + 686784.

It is an arithmetic number, because the mean of its divisors is an integer number (6365378955).

Almost surely, 2227048343120 is an apocalyptic number.

227048343120 is a gapful number since it is divisible by the number (20) 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 227048343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381922737300).

227048343120 is an abundant number, since it is smaller than the sum of its proper divisors (536797131480).

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

227048343120 is a wasteful number, since it uses less digits than its factorization.

227048343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554797 (or 554788 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 227048343120 in words is "two hundred twenty-seven billion, forty-eight million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 569 720 1138 1707 2276 2845 3414 4552 5121 5690 6828 8535 9104 10242 11380 13656 17070 20484 22760 25605 27312 34140 40968 45520 51210 68280 81936 102420 136560 204840 409680 554209 1108418 1662627 2216836 2771045 3325254 4433672 4987881 5542090 6650508 8313135 8867344 9975762 11084180 13301016 16626270 19951524 22168360 24939405 26602032 33252540 39903048 44336720 49878810 66505080 79806096 99757620 133010160 199515240 315344921 399030480 630689842 946034763 1261379684 1576724605 1892069526 2522759368 2838104289 3153449210 3784139052 4730173815 5045518736 5676208578 6306898420 7568278104 9460347630 11352417156 12613796840 14190521445 15136556208 18920695260 22704834312 25227593680 28381042890 37841390520 45409668624 56762085780 75682781040 113524171560 227048343120