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2212457472 = 21032431557
BaseRepresentation
bin1000001111011111…
…0110110000000000
312201012010111002100
42003313312300000
514012342114342
61003312350400
7105553402221
oct20367666000
95635114070
102212457472
11a35969055
12518b45400
132934a3944
1416dba1248
15ce37ce4c
hex83df6c00

2212457472 has 132 divisors (see below), whose sum is σ = 6414741216. Its totient is φ = 734453760.

The previous prime is 2212457459. The next prime is 2212457509. The reversal of 2212457472 is 2747542122.

2212457472 is a `hidden beast` number, since 2 + 2 + 12 + 4 + 574 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3971818 + ... + 3972374.

Almost surely, 22212457472 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 2212457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207370608).

2212457472 is an abundant number, since it is smaller than the sum of its proper divisors (4202283744).

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

2212457472 is a wasteful number, since it uses less digits than its factorization.

2212457472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 993 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 2212457472 is about 47036.7672358550. The cubic root of 2212457472 is about 1303.0416886718.

Adding to 2212457472 its reverse (2747542122), we get a palindrome (4959999594).

It can be divided in two parts, 2212 and 457472, that added together give a square (459684 = 6782).

The spelling of 2212457472 in words is "two billion, two hundred twelve million, four hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 431 512 557 576 768 862 1024 1114 1152 1293 1536 1671 1724 2228 2304 2586 3072 3342 3448 3879 4456 4608 5013 5172 6684 6896 7758 8912 9216 10026 10344 13368 13792 15516 17824 20052 20688 26736 27584 31032 35648 40104 41376 53472 55168 62064 71296 80208 82752 106944 110336 124128 142592 160416 165504 213888 220672 240067 248256 285184 320832 331008 427776 441344 480134 496512 570368 641664 662016 720201 855552 960268 993024 1283328 1324032 1440402 1711104 1920536 1986048 2160603 2566656 2880804 3841072 3972096 4321206 5133312 5761608 7682144 8642412 11523216 15364288 17284824 23046432 30728576 34569648 46092864 61457152 69139296 92185728 122914304 138278592 184371456 245828608 276557184 368742912 553114368 737485824 1106228736 2212457472