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214965872 = 24112714507
BaseRepresentation
bin11001101000000…
…01111001110000
3112222111101201222
430310001321300
5420012401442
633155244212
75220115442
oct1464017160
9488441658
10214965872
11100385050
125bba9668
13356c7254
142079a492
1513d138d2
hexcd01e70

214965872 has 40 divisors (see below), whose sum is σ = 456137472. Its totient is φ = 97329600.

The previous prime is 214965869. The next prime is 214965887. The reversal of 214965872 is 278569412.

It is a happy number.

It is a super-2 number, since 2×2149658722 = 92420652249440768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an alternating number because its digits alternate between even and odd.

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, 45443 + ... + 49949.

Almost surely, 2214965872 is an apocalyptic number.

214965872 is a gapful number since it is divisible by the number (22) 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 214965872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228068736).

214965872 is an abundant number, since it is smaller than the sum of its proper divisors (241171600).

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

214965872 is a wasteful number, since it uses less digits than its factorization.

214965872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797 (or 4791 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 214965872 is about 14661.7144972885. The cubic root of 214965872 is about 599.0409419035.

The spelling of 214965872 in words is "two hundred fourteen million, nine hundred sixty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 271 542 1084 2168 2981 4336 4507 5962 9014 11924 18028 23848 36056 47696 49577 72112 99154 198308 396616 793232 1221397 2442794 4885588 9771176 13435367 19542352 26870734 53741468 107482936 214965872