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214288332 = 2231723109419
BaseRepresentation
bin11001100010111…
…00011111001100
3112221012222022220
430301130133030
5414324211312
633132535340
75211264216
oct1461343714
9487188286
10214288332
11aaa61aa5
125b921550
133551aa3b
14206615b6
1513c2cc8c
hexcc5c7cc

214288332 has 96 divisors (see below), whose sum is σ = 558835200. Its totient is φ = 63562752.

The previous prime is 214288331. The next prime is 214288343. The reversal of 214288332 is 233882412.

It is a junction number, because it is equal to n+sod(n) for n = 214288293 and 214288302.

It is not an unprimeable number, because it can be changed into a prime (214288331) 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, 511219 + ... + 511637.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2214288332 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 214288332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

214288332 is an abundant number, since it is smaller than the sum of its proper divisors (344546868).

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

214288332 is a wasteful number, since it uses less digits than its factorization.

214288332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 573 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 214288332 is about 14638.5905059196. The cubic root of 214288332 is about 598.4109172980.

The spelling of 214288332 in words is "two hundred fourteen million, two hundred eighty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 109 138 204 218 276 327 391 419 436 654 782 838 1173 1257 1308 1564 1676 1853 2346 2507 2514 3706 4692 5014 5028 5559 7123 7412 7521 9637 10028 11118 14246 15042 19274 21369 22236 28492 28911 30084 38548 42619 42738 45671 57822 85238 85476 91342 115644 127857 137013 163829 170476 182684 255714 274026 327658 491487 511428 548052 655316 776407 982974 1050433 1552814 1965948 2100866 2329221 3105628 3151299 4201732 4658442 6302598 9316884 12605196 17857361 35714722 53572083 71429444 107144166 214288332