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214976496 = 24374713613
BaseRepresentation
bin11001101000001…
…00011111110000
3112222111221022110
430310010133300
5420013221441
633155405320
75220161430
oct1464043760
9488457273
10214976496
11100392029
125bbb3840
13356cc037
14207a02c0
1513d16b16
hexcd047f0

214976496 has 80 divisors (see below), whose sum is σ = 648244224. Its totient is φ = 60110592.

The previous prime is 214976473. The next prime is 214976497. The reversal of 214976496 is 694679412.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214976497) by changing a digit.

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, 8986 + ... + 22598.

Almost surely, 2214976496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214976496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324122112).

214976496 is an abundant number, since it is smaller than the sum of its proper divisors (433267728).

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

214976496 is a wasteful number, since it uses less digits than its factorization.

214976496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13678 (or 13672 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 214976496 is about 14662.0767969616. The cubic root of 214976496 is about 599.0508103011.

The spelling of 214976496 in words is "two hundred fourteen million, nine hundred seventy-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 7896 13613 15792 27226 40839 54452 81678 95291 108904 163356 190582 217808 285873 326712 381164 571746 639811 653424 762328 1143492 1279622 1524656 1919433 2286984 2559244 3838866 4478677 4573968 5118488 7677732 8957354 10236976 13436031 15355464 17914708 26872062 30710928 35829416 53744124 71658832 107488248 214976496