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2252534220 = 2232547449593
BaseRepresentation
bin1000011001000010…
…1111000111001100
312210222112121001100
42012100233013030
514103122043340
61011303343100
7106551140106
oct20620570714
95728477040
102252534220
11a56551332
1252a451a90
1329b8963b1
14175234576
15d2b47830
hex8642f1cc

2252534220 has 144 divisors (see below), whose sum is σ = 7005398400. Its totient is φ = 585596928.

The previous prime is 2252534213. The next prime is 2252534239. The reversal of 2252534220 is 224352522.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3798244 + ... + 3798836.

It is an arithmetic number, because the mean of its divisors is an integer number (48648600).

Almost surely, 22252534220 is an apocalyptic number.

2252534220 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 2252534220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502699200).

2252534220 is an abundant number, since it is smaller than the sum of its proper divisors (4752864180).

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

2252534220 is a wasteful number, since it uses less digits than its factorization.

2252534220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2252534220 is about 47460.8704092118. The cubic root of 2252534220 is about 1310.8624780909.

Adding to 2252534220 its reverse (224352522), we get a palindrome (2476886742).

The spelling of 2252534220 in words is "two billion, two hundred fifty-two million, five hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 449 470 564 593 705 846 898 940 1186 1347 1410 1692 1779 1796 2115 2245 2372 2694 2820 2965 3558 4041 4230 4490 5337 5388 5930 6735 7116 8082 8460 8895 8980 10674 11860 13470 16164 17790 20205 21103 21348 26685 26940 27871 35580 40410 42206 53370 55742 63309 80820 83613 84412 105515 106740 111484 126618 139355 167226 189927 211030 250839 253236 266257 278710 316545 334452 379854 418065 422060 501678 532514 557420 633090 759708 798771 836130 949635 1003356 1065028 1254195 1266180 1331285 1597542 1672260 1899270 2396313 2508390 2662570 3195084 3798540 3993855 4792626 5016780 5325140 7987710 9585252 11981565 12514079 15975420 23963130 25028158 37542237 47926260 50056316 62570395 75084474 112626711 125140790 150168948 187711185 225253422 250281580 375422370 450506844 563133555 750844740 1126267110 2252534220