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2212497168 = 243759233479
BaseRepresentation
bin1000001111100000…
…0000011100010000
312201012012111112120
42003320000130100
514012344402133
61003313254240
7105553626030
oct20370003420
95635174476
102212497168
11a35995962
12518b64380
132934b8a2b
1416dbb18c0
15ce389ab3
hex83e00710

2212497168 has 160 divisors (see below), whose sum is σ = 6685286400. Its totient is φ = 617468928.

The previous prime is 2212497163. The next prime is 2212497169. The reversal of 2212497168 is 8617942122.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2212497163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4618753 + ... + 4619231.

It is an arithmetic number, because the mean of its divisors is an integer number (41783040).

Almost surely, 22212497168 is an apocalyptic number.

2212497168 is a gapful number since it is divisible by the number (28) 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 2212497168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342643200).

2212497168 is an abundant number, since it is smaller than the sum of its proper divisors (4472789232).

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

2212497168 is a wasteful number, since it uses less digits than its factorization.

2212497168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 783 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 2212497168 is about 47037.1892017370. The cubic root of 2212497168 is about 1303.0494817004.

The spelling of 2212497168 in words is "two billion, two hundred twelve million, four hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 233 236 336 354 413 466 472 479 699 708 826 932 944 958 1239 1398 1416 1437 1631 1652 1864 1916 2478 2796 2832 2874 3262 3304 3353 3728 3832 4893 4956 5592 5748 6524 6608 6706 7664 9786 9912 10059 11184 11496 13048 13412 13747 19572 19824 20118 22992 26096 26824 27494 28261 39144 40236 41241 53648 54988 56522 78288 80472 82482 84783 96229 109976 111607 113044 160944 164964 169566 192458 197827 219952 223214 226088 288687 329928 334821 339132 384916 395654 446428 452176 577374 593481 659856 669642 678264 769832 781249 791308 892856 1154748 1186962 1339284 1356528 1539664 1562498 1582616 1785712 2309496 2343747 2373924 2678568 3124996 3165232 4618992 4687494 4747848 5357136 6249992 6584813 9374988 9495696 12499984 13169626 18749976 19754439 26339252 37499952 39508878 46093691 52678504 79017756 92187382 105357008 138281073 158035512 184374764 276562146 316071024 368749528 553124292 737499056 1106248584 2212497168