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214748220 = 223510135437
BaseRepresentation
bin11001100110011…
…00110000111100
3112222002100011210
430303030300330
5414433420340
633150444420
75215221051
oct1463146074
9488070153
10214748220
11100246575
125bb03710
133564c16b
1420741028
1513cbe180
hexccccc3c

214748220 has 48 divisors (see below), whose sum is σ = 607265568. Its totient is φ = 56697600.

The previous prime is 214748213. The next prime is 214748221. The reversal of 214748220 is 22847412.

214748220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147482202 = 92233595986336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214748221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11659 + ... + 23778.

It is an arithmetic number, because the mean of its divisors is an integer number (12651366).

Almost surely, 2214748220 is an apocalyptic number.

214748220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214748220 is an abundant number, since it is smaller than the sum of its proper divisors (392517348).

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

214748220 is a wasteful number, since it uses less digits than its factorization.

214748220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35550 (or 35548 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 214748220 is about 14654.2901568107. The cubic root of 214748220 is about 598.8386981914.

The spelling of 214748220 in words is "two hundred fourteen million, seven hundred forty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 35437 70874 106311 141748 177185 212622 354370 425244 531555 708740 1063110 2126220 3579137 7158274 10737411 14316548 17895685 21474822 35791370 42949644 53687055 71582740 107374110 214748220