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214429280 = 25513103091
BaseRepresentation
bin11001100011111…
…10111001100000
3112221111010200012
430301332321200
5414343214110
633135544052
75212422152
oct1461767140
9487433605
10214429280
1110004898a
125b98b028
1335569c40
142069aad2
1513c59905
hexcc7ee60

214429280 has 48 divisors (see below), whose sum is σ = 545562864. Its totient is φ = 79173120.

The previous prime is 214429223. The next prime is 214429333. The reversal of 214429280 is 82924412.

It is a happy number.

It is a super-2 number, since 2×2144292802 = 91959832242636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49466 + ... + 53625.

It is an arithmetic number, because the mean of its divisors is an integer number (11365893).

Almost surely, 2214429280 is an apocalyptic number.

214429280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214429280 is an abundant number, since it is smaller than the sum of its proper divisors (331133584).

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

214429280 is a wasteful number, since it uses less digits than its factorization.

214429280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103119 (or 103111 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 214429280 is about 14643.4039758521. The cubic root of 214429280 is about 598.5420899962.

The spelling of 214429280 in words is "two hundred fourteen million, four hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 103091 206182 412364 515455 824728 1030910 1340183 1649456 2061820 2680366 3298912 4123640 5360732 6700915 8247280 10721464 13401830 16494560 21442928 26803660 42885856 53607320 107214640 214429280