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214154220 = 223573731367
BaseRepresentation
bin11001100001110…
…11101111101100
3112220222011100210
430300323233230
5414310413340
633130022420
75210165220
oct1460735754
9486864323
10214154220
11aa980265
125b877a10
13354a1997
1420628780
1513c03180
hexcc3bbec

214154220 has 96 divisors (see below), whose sum is σ = 687633408. Its totient is φ = 48782592.

The previous prime is 214154209. The next prime is 214154243. The reversal of 214154220 is 22451412.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 155977 + ... + 157343.

It is an arithmetic number, because the mean of its divisors is an integer number (7162848).

Almost surely, 2214154220 is an apocalyptic number.

214154220 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 214154220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343816704).

214154220 is an abundant number, since it is smaller than the sum of its proper divisors (473479188).

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

214154220 is a wasteful number, since it uses less digits than its factorization.

214154220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 214154220 is about 14634.0090200874. The cubic root of 214154220 is about 598.2860530830.

The spelling of 214154220 in words is "two hundred fourteen million, one hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 373 420 746 1119 1367 1492 1865 2238 2611 2734 3730 4101 4476 5222 5468 5595 6835 7460 7833 8202 9569 10444 11190 13055 13670 15666 16404 19138 20505 22380 26110 27340 28707 31332 38276 39165 41010 47845 52220 57414 78330 82020 95690 114828 143535 156660 191380 287070 509891 574140 1019782 1529673 2039564 2549455 3059346 3569237 5098910 6118692 7138474 7648365 10197820 10707711 14276948 15296730 17846185 21415422 30593460 35692370 42830844 53538555 71384740 107077110 214154220