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214044440 = 235231971181
BaseRepresentation
bin11001100001000…
…00111100011000
3112220202120202212
430300200330120
5414243410230
633123414252
75206230161
oct1460407430
9486676685
10214044440
11aa905835
125b824388
1335463a1c
14205da768
1513bd0895
hexcc20f18

214044440 has 64 divisors (see below), whose sum is σ = 505517760. Its totient is φ = 81410560.

The previous prime is 214044421. The next prime is 214044461. The reversal of 214044440 is 44440412.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180650 + ... + 181830.

It is an arithmetic number, because the mean of its divisors is an integer number (7898715).

Almost surely, 2214044440 is an apocalyptic number.

214044440 is a gapful number since it is divisible by the number (20) 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 214044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252758880).

214044440 is an abundant number, since it is smaller than the sum of its proper divisors (291473320).

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

214044440 is a wasteful number, since it uses less digits than its factorization.

214044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 214044440 is about 14630.2576874093. The cubic root of 214044440 is about 598.1838042316.

Adding to 214044440 its reverse (44440412), we get a palindrome (258484852).

The spelling of 214044440 in words is "two hundred fourteen million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 197 230 394 460 788 920 985 1181 1576 1970 2362 3940 4531 4724 5905 7880 9062 9448 11810 18124 22655 23620 27163 36248 45310 47240 54326 90620 108652 135815 181240 217304 232657 271630 465314 543260 930628 1086520 1163285 1861256 2326570 4653140 5351111 9306280 10702222 21404444 26755555 42808888 53511110 107022220 214044440