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2202474312 = 2332193353449
BaseRepresentation
bin1000001101000111…
…0001011101001000
312200111100021202200
42003101301131020
514002313134222
61002314400200
7105402502623
oct20321613510
95614307680
102202474312
11a3026a605
12515730060
132913b994c
1416c722dba
15cd559eac
hex83471748

2202474312 has 96 divisors (see below), whose sum is σ = 6026319000. Its totient is φ = 726663168.

The previous prime is 2202474277. The next prime is 2202474349. The reversal of 2202474312 is 2134742022.

2202474312 is a `hidden beast` number, since 220 + 2 + 4 + 7 + 431 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1660236516 + 542237796 = 40746^2 + 23286^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4905064 + ... + 4905512.

Almost surely, 22202474312 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 2202474312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013159500).

2202474312 is an abundant number, since it is smaller than the sum of its proper divisors (3823844688).

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

2202474312 is a wasteful number, since it uses less digits than its factorization.

2202474312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2202474312 is about 46930.5264406868. The cubic root of 2202474312 is about 1301.0788503873.

The spelling of 2202474312 in words is "two billion, two hundred two million, four hundred seventy-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 353 386 449 579 706 772 898 1059 1158 1347 1412 1544 1737 1796 2118 2316 2694 2824 3177 3474 3592 4041 4236 4632 5388 6354 6948 8082 8472 10776 12708 13896 16164 25416 32328 68129 86657 136258 158497 173314 204387 259971 272516 316994 346628 408774 475491 519942 545032 613161 633988 693256 779913 817548 950982 1039884 1226322 1267976 1426473 1559826 1635096 1901964 2079768 2452644 2852946 3119652 3803928 4905288 5705892 6239304 11411784 30589921 61179842 91769763 122359684 183539526 244719368 275309289 367079052 550618578 734158104 1101237156 2202474312