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214799088 = 24373531811
BaseRepresentation
bin11001100110110…
…01001011110000
3112222011220221210
430303121023300
5414442032323
633151520120
75215522260
oct1463311360
9488156853
10214799088
11100280809
125bb29040
133566936a
14207557a0
1513cce293
hexccd92f0

214799088 has 80 divisors (see below), whose sum is σ = 636316416. Its totient is φ = 61163520.

The previous prime is 214799077. The next prime is 214799107. The reversal of 214799088 is 880997412.

214799088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147990882 = 92277296411263488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117703 + ... + 119513.

Almost surely, 2214799088 is an apocalyptic number.

214799088 is a gapful number since it is divisible by the number (28) 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 214799088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318158208).

214799088 is an abundant number, since it is smaller than the sum of its proper divisors (421517328).

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

214799088 is a wasteful number, since it uses less digits than its factorization.

214799088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 214799088 is about 14656.0256549994. The cubic root of 214799088 is about 598.8859773137.

The spelling of 214799088 in words is "two hundred fourteen million, seven hundred ninety-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 353 706 1059 1412 1811 2118 2471 2824 3622 4236 4942 5433 5648 7244 7413 8472 9884 10866 12677 14488 14826 16944 19768 21732 25354 28976 29652 38031 39536 43464 50708 59304 76062 86928 101416 118608 152124 202832 304248 608496 639283 1278566 1917849 2557132 3835698 4474981 5114264 7671396 8949962 10228528 13424943 15342792 17899924 26849886 30685584 35799848 53699772 71599696 107399544 214799088