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214399248 = 2437738741
BaseRepresentation
bin11001100011101…
…11100100010000
3112221102121110220
430301313210100
5414341233443
633135153040
75212235460
oct1461674420
9487377426
10214399248
11100028368
125b975780
133555937b
142068dba0
1513c50a83
hexcc77910

214399248 has 80 divisors (see below), whose sum is σ = 641732736. Its totient is φ = 60410880.

The previous prime is 214399231. The next prime is 214399253. The reversal of 214399248 is 842993412.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 20158 + ... + 28898.

Almost surely, 2214399248 is an apocalyptic number.

214399248 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 214399248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320866368).

214399248 is an abundant number, since it is smaller than the sum of its proper divisors (427333488).

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

214399248 is a wasteful number, since it uses less digits than its factorization.

214399248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8832 (or 8826 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 214399248 is about 14642.3784953128. The cubic root of 214399248 is about 598.5141456544.

The spelling of 214399248 in words is "two hundred fourteen million, three hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3066 3504 4088 6132 8176 8741 12264 17482 24528 26223 34964 52446 61187 69928 104892 122374 139856 183561 209784 244748 367122 419568 489496 638093 734244 978992 1276186 1468488 1914279 2552372 2936976 3828558 4466651 5104744 7657116 8933302 10209488 13399953 15314232 17866604 26799906 30628464 35733208 53599812 71466416 107199624 214399248