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2682220032 = 2932837013
BaseRepresentation
bin1001111111011111…
…0110111000000000
320220221001220011200
42133313312320000
520443122020112
61122053141200
7123316331322
oct23767667000
96827056150
102682220032
111157052678
1262a32a800
133398cc95b
141b6325612
1510a721cdc
hex9fdf6e00

2682220032 has 120 divisors (see below), whose sum is σ = 7835451624. Its totient is φ = 883175424.

The previous prime is 2682220019. The next prime is 2682220069. The reversal of 2682220032 is 2300222862.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2682219978 and 2682220005.

It is a congruent number.

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, 378958 + ... + 385970.

Almost surely, 22682220032 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 2682220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917725812).

2682220032 is an abundant number, since it is smaller than the sum of its proper divisors (5153231592).

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

2682220032 is an equidigital number, since it uses as much as digits as its factorization.

2682220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2682220032 is about 51790.1538132491. The cubic root of 2682220032 is about 1389.4133493883.

Adding to 2682220032 its reverse (2300222862), we get a palindrome (4982442894).

The spelling of 2682220032 in words is "two billion, six hundred eighty-two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 512 576 664 747 768 996 1152 1328 1494 1536 1992 2304 2656 2988 3984 4608 5312 5976 7013 7968 10624 11952 14026 15936 21039 21248 23904 28052 31872 42078 42496 47808 56104 63117 63744 84156 95616 112208 126234 127488 168312 191232 224416 252468 336624 382464 448832 504936 582079 673248 897664 1009872 1164158 1346496 1746237 1795328 2019744 2328316 2692992 3492474 3590656 4039488 4656632 5238711 5385984 6984948 8078976 9313264 10477422 10771968 13969896 16157952 18626528 20954844 27939792 32315904 37253056 41909688 55879584 74506112 83819376 111759168 149012224 167638752 223518336 298024448 335277504 447036672 670555008 894073344 1341110016 2682220032