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207427220 = 225711132797
BaseRepresentation
bin11000101110100…
…01011010010100
3112110022101122122
430113101122110
5411100132340
632325515112
75066050040
oct1427213224
9473271578
10207427220
11a70a6160
1259572a98
1333c87b00
141d797020
1513324db5
hexc5d1694

207427220 has 144 divisors (see below), whose sum is σ = 588809088. Its totient is φ = 59604480.

The previous prime is 207427151. The next prime is 207427247. The reversal of 207427220 is 22724702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 207427220.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 259862 + ... + 260658.

It is an arithmetic number, because the mean of its divisors is an integer number (4088952).

Almost surely, 2207427220 is an apocalyptic number.

207427220 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 207427220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294404544).

207427220 is an abundant number, since it is smaller than the sum of its proper divisors (381381868).

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

207427220 is a wasteful number, since it uses less digits than its factorization.

207427220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 207427220 is about 14402.3338386527. Note that the first 3 decimals coincide. The cubic root of 207427220 is about 591.9548487904.

The spelling of 207427220 in words is "two hundred seven million, four hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 169 182 220 260 286 308 338 364 385 455 572 676 715 770 797 845 910 1001 1183 1430 1540 1594 1690 1820 1859 2002 2366 2860 3188 3380 3718 3985 4004 4732 5005 5579 5915 7436 7970 8767 9295 10010 10361 11158 11830 13013 15940 17534 18590 20020 20722 22316 23660 26026 27895 35068 37180 41444 43835 51805 52052 55790 61369 65065 72527 87670 103610 111580 113971 122738 130130 134693 145054 175340 207220 227942 245476 260260 269386 290108 306845 362635 455884 538772 569855 613690 673465 725270 797797 942851 1139710 1227380 1346930 1450540 1481623 1595594 1885702 2279420 2693860 2963246 3191188 3771404 3988985 4714255 5926492 7408115 7977970 9428510 10371361 14816230 15955940 18857020 20742722 29632460 41485444 51856805 103713610 207427220