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2006631220 = 2251129367857
BaseRepresentation
bin111011110011010…
…1100001100110100
312011211211102112211
41313212230030310
513102144144340
6531041023204
7100504040536
oct16746541464
95154742484
102006631220
1193a766810
12480024b04
1325c959769
14150703856
15bb2725ea
hex779ac334

2006631220 has 96 divisors (see below), whose sum is σ = 4774049280. Its totient is φ = 701783040.

The previous prime is 2006631197. The next prime is 2006631257. The reversal of 2006631220 is 221366002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2006631191 and 2006631200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2341032 + ... + 2341888.

It is an arithmetic number, because the mean of its divisors is an integer number (49729680).

Almost surely, 22006631220 is an apocalyptic number.

2006631220 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 2006631220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387024640).

2006631220 is an abundant number, since it is smaller than the sum of its proper divisors (2767418060).

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

2006631220 is a wasteful number, since it uses less digits than its factorization.

2006631220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2006631220 is about 44795.4374908874. The cubic root of 2006631220 is about 1261.3119827062.

Adding to 2006631220 its reverse (221366002), we get a palindrome (2227997222).

The spelling of 2006631220 in words is "two billion, six million, six hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 367 580 638 734 857 1276 1468 1595 1714 1835 3190 3428 3670 4037 4285 6380 7340 8074 8570 9427 10643 16148 17140 18854 20185 21286 24853 37708 40370 42572 47135 49706 53215 80740 94270 99412 106430 117073 124265 188540 212860 234146 248530 273383 314519 468292 497060 546766 585365 629038 1093532 1170730 1258076 1366915 1572595 2341460 2733830 3145190 3459709 5467660 6290380 6919418 9121051 13838836 17298545 18242102 34597090 36484204 45605255 69194180 91210510 100331561 182421020 200663122 401326244 501657805 1003315610 2006631220