Search a number
-
+
1679227220 = 22511193112959
BaseRepresentation
bin110010000010110…
…1111100101010100
311100000202120200202
41210011233211110
511414340232340
6434343400032
756420124116
oct14405574524
94300676622
101679227220
117919752a0
123aa453018
13209b85498
1411d0393b6
159c64dc15
hex6416f954

1679227220 has 96 divisors (see below), whose sum is σ = 4180377600. Its totient is φ = 559785600.

The previous prime is 1679227219. The next prime is 1679227267. The reversal of 1679227220 is 227229761.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123101 + ... + 136059.

It is an arithmetic number, because the mean of its divisors is an integer number (43545600).

Almost surely, 21679227220 is an apocalyptic number.

1679227220 is a gapful number since it is divisible by the number (10) 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 1679227220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090188800).

1679227220 is an abundant number, since it is smaller than the sum of its proper divisors (2501150380).

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

1679227220 is a wasteful number, since it uses less digits than its factorization.

1679227220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 1679227220 is about 40978.3750287880. The cubic root of 1679227220 is about 1188.6020870415.

The spelling of 1679227220 in words is "one billion, six hundred seventy-nine million, two hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 31 38 44 55 62 76 95 110 124 155 190 209 220 310 341 380 418 589 620 682 836 1045 1178 1364 1705 2090 2356 2945 3410 4180 5890 6479 6820 11780 12958 12959 25916 25918 32395 51836 64790 64795 129580 129590 142549 246221 259180 285098 401729 492442 570196 712745 803458 984884 1231105 1425490 1606916 2008645 2462210 2708431 2850980 4017290 4419019 4924420 5416862 7632851 8034580 8838038 10833724 13542155 15265702 17676076 22095095 27084310 30531404 38164255 44190190 54168620 76328510 83961361 88380380 152657020 167922722 335845444 419806805 839613610 1679227220