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214417640 = 23514233767
BaseRepresentation
bin11001100011111…
…00000011101000
3112221110112201002
430301330003220
5414342331030
633135414132
75212343213
oct1461740350
9487415632
10214417640
11100040168
125b984348
1335564858
142069677a
1513c56245
hexcc7c0e8

214417640 has 32 divisors (see below), whose sum is σ = 482906880. Its totient is φ = 85684032.

The previous prime is 214417633. The next prime is 214417649. The reversal of 214417640 is 46714412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214417649) 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, 55037 + ... + 58803.

It is an arithmetic number, because the mean of its divisors is an integer number (15090840).

Almost surely, 2214417640 is an apocalyptic number.

214417640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214417640 is an abundant number, since it is smaller than the sum of its proper divisors (268489240).

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

214417640 is a wasteful number, since it uses less digits than its factorization.

214417640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 214417640 is about 14643.0065218861. The cubic root of 214417640 is about 598.5312594542.

The spelling of 214417640 in words is "two hundred fourteen million, four hundred seventeen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1423 2846 3767 5692 7115 7534 11384 14230 15068 18835 28460 30136 37670 56920 75340 150680 5360441 10720882 21441764 26802205 42883528 53604410 107208820 214417640