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214003552 = 2572773449
BaseRepresentation
bin11001100000101…
…10111101100000
3112220200111200111
430300112331200
5414241103202
633122501104
75206000030
oct1460267540
9486614614
10214003552
11aa888044
125b804794
133544b229
14205c98c0
1513bc36d7
hexcc16f60

214003552 has 48 divisors (see below), whose sum is σ = 483386400. Its totient is φ = 91358208.

The previous prime is 214003541. The next prime is 214003553. The reversal of 214003552 is 255300412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214003553) 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 7 ways as a sum of consecutive naturals, for example, 60324 + ... + 63772.

It is an arithmetic number, because the mean of its divisors is an integer number (10070550).

Almost surely, 2214003552 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 214003552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241693200).

214003552 is an abundant number, since it is smaller than the sum of its proper divisors (269382848).

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

214003552 is a wasteful number, since it uses less digits than its factorization.

214003552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 214003552 is about 14628.8602426847. The cubic root of 214003552 is about 598.1457123024.

Adding to 214003552 its reverse (255300412), we get a palindrome (469303964).

The spelling of 214003552 in words is "two hundred fourteen million, three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 277 554 1108 1939 2216 3449 3878 4432 6898 7756 8864 13796 15512 24143 27592 31024 48286 55184 62048 96572 110368 193144 386288 772576 955373 1910746 3821492 6687611 7642984 13375222 15285968 26750444 30571936 53500888 107001776 214003552