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2214262470 = 235721979279
BaseRepresentation
bin1000001111111010…
…1111011011000110
312201022112012002010
42003332233123012
514013322344340
61003415155050
7105604630500
oct20376573306
95638465063
102214262470
11a36991192
12519675a86
132939863a4
14170110d70
15ce5d7b80
hex83faf6c6

2214262470 has 96 divisors (see below), whose sum is σ = 6507302400. Its totient is φ = 479473344.

The previous prime is 2214262429. The next prime is 2214262493. The reversal of 2214262470 is 742624122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11710 + ... + 67569.

It is an arithmetic number, because the mean of its divisors is an integer number (67784400).

Almost surely, 22214262470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214262470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253651200).

2214262470 is an abundant number, since it is smaller than the sum of its proper divisors (4293039930).

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

2214262470 is a wasteful number, since it uses less digits than its factorization.

2214262470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79322 (or 79315 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2214262470 is about 47055.9504207491. The cubic root of 2214262470 is about 1303.3959475823.

Adding to 2214262470 its reverse (742624122), we get a palindrome (2956886592).

The spelling of 2214262470 in words is "two billion, two hundred fourteen million, two hundred sixty-two thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 3990 4655 5586 9310 13965 27930 79279 158558 237837 396395 475674 554953 792790 1109906 1189185 1506301 1664859 2378370 2774765 3012602 3329718 3884671 4518903 5549530 7531505 7769342 8324295 9037806 10544107 11654013 15063010 16648590 19423355 21088214 22594515 23308026 31632321 38846710 45189030 52720535 58270065 63264642 73808749 105441070 116540130 147617498 158161605 221426247 316323210 369043745 442852494 738087490 1107131235 2214262470