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214502472 = 23331079281
BaseRepresentation
bin11001100100100…
…00110001001000
3112221121212002000
430302100301020
5414403034342
633141311000
75213145432
oct1462206110
9487555060
10214502472
11100098978
125ba05460
1335594352
14206b9652
1513c7144c
hexcc90c48

214502472 has 64 divisors (see below), whose sum is σ = 601473600. Its totient is φ = 70824960.

The previous prime is 214502471. The next prime is 214502479. The reversal of 214502472 is 274205412.

It is a super-2 number, since 2×2145024722 = 92022620988221568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (214502471) 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, 18472 + ... + 27752.

It is an arithmetic number, because the mean of its divisors is an integer number (9398025).

Almost surely, 2214502472 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 214502472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300736800).

214502472 is an abundant number, since it is smaller than the sum of its proper divisors (386971128).

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

214502472 is a wasteful number, since it uses less digits than its factorization.

214502472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9403 (or 9393 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 214502472 is about 14645.9029083222. The cubic root of 214502472 is about 598.6101831677.

Adding to 214502472 its reverse (274205412), we get a palindrome (488707884).

The spelling of 214502472 in words is "two hundred fourteen million, five hundred two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1926 2568 2889 3852 5778 7704 9281 11556 18562 23112 27843 37124 55686 74248 83529 111372 167058 222744 250587 334116 501174 668232 993067 1002348 1986134 2004696 2979201 3972268 5958402 7944536 8937603 11916804 17875206 23833608 26812809 35750412 53625618 71500824 107251236 214502472