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214278740 = 225131097561
BaseRepresentation
bin11001100010110…
…10001001010100
3112221012111011122
430301122021110
5414323404430
633132423112
75211224234
oct1461321124
9487174148
10214278740
11aaa55875
125b917a98
1335516570
142065bcc4
1513c29ee5
hexcc5a254

214278740 has 48 divisors (see below), whose sum is σ = 489110160. Its totient is φ = 78382080.

The previous prime is 214278733. The next prime is 214278763. The reversal of 214278740 is 47872412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19061956 + 195216784 = 4366^2 + 13972^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 214278740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24560 + ... + 32120.

It is an arithmetic number, because the mean of its divisors is an integer number (10189795).

Almost surely, 2214278740 is an apocalyptic number.

214278740 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 214278740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244555080).

214278740 is an abundant number, since it is smaller than the sum of its proper divisors (274831420).

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

214278740 is a wasteful number, since it uses less digits than its factorization.

214278740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7692 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 214278740 is about 14638.2628750819. The cubic root of 214278740 is about 598.4019884510.

The spelling of 214278740 in words is "two hundred fourteen million, two hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 2180 2834 5668 7085 7561 14170 15122 28340 30244 37805 75610 98293 151220 196586 393172 491465 824149 982930 1648298 1965860 3296596 4120745 8241490 10713937 16482980 21427874 42855748 53569685 107139370 214278740