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214369848 = 233371112889
BaseRepresentation
bin11001100011100…
…00011000111000
3112221101010011000
430301300120320
5414334313343
633134405000
75212053660
oct1461603070
9487333130
10214369848
11100008270
125b960760
1335548b84
14206831a0
1513c46ed3
hexcc70638

214369848 has 128 divisors (see below), whose sum is σ = 742464000. Its totient is φ = 55676160.

The previous prime is 214369843. The next prime is 214369849. The reversal of 214369848 is 848963412.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214369843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10188 + ... + 23076.

It is an arithmetic number, because the mean of its divisors is an integer number (5800500).

Almost surely, 2214369848 is an apocalyptic number.

214369848 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 214369848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371232000).

214369848 is an abundant number, since it is smaller than the sum of its proper divisors (528094152).

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

214369848 is a wasteful number, since it uses less digits than its factorization.

214369848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12922 (or 12912 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 214369848 is about 14641.3745256380. The cubic root of 214369848 is about 598.4867868516.

The spelling of 214369848 in words is "two hundred fourteen million, three hundred sixty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 12889 16632 25778 38667 51556 77334 90223 103112 116001 141779 154668 180446 232002 270669 283558 309336 348003 360892 425337 464004 541338 567116 696006 721784 812007 850674 928008 992453 1082676 1134232 1276011 1392012 1624014 1701348 1984906 2165352 2436021 2552022 2784024 2977359 3248028 3402696 3828033 3969812 4872042 5104044 5954718 6496056 7656066 7939624 8932077 9744084 10208088 11909436 15312132 17864154 19488168 23818872 26796231 30624264 35728308 53592462 71456616 107184924 214369848