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214422252 = 2231137431021
BaseRepresentation
bin11001100011111…
…01001011101100
3112221110210000220
430301331023230
5414343003002
633135451340
75212362522
oct1461751354
9487423026
10214422252
11100043680
125b986b50
1335566995
1420698312
1513c577bc
hexcc7d2ec

214422252 has 96 divisors (see below), whose sum is σ = 574151424. Its totient is φ = 61689600.

The previous prime is 214422227. The next prime is 214422253. The reversal of 214422252 is 252224412.

214422252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214422253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209502 + ... + 210522.

It is an arithmetic number, because the mean of its divisors is an integer number (5980744).

Almost surely, 2214422252 is an apocalyptic number.

214422252 is a gapful number since it is divisible by the number (22) 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 214422252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287075712).

214422252 is an abundant number, since it is smaller than the sum of its proper divisors (359729172).

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

214422252 is a wasteful number, since it uses less digits than its factorization.

214422252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1117 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 214422252 is about 14643.1640023596. The cubic root of 214422252 is about 598.5355507777.

Adding to 214422252 its reverse (252224412), we get a palindrome (466646664).

The spelling of 214422252 in words is "two hundred fourteen million, four hundred twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 43 44 66 74 86 111 129 132 148 172 222 258 407 444 473 516 814 946 1021 1221 1419 1591 1628 1892 2042 2442 2838 3063 3182 4084 4773 4884 5676 6126 6364 9546 11231 12252 17501 19092 22462 33693 35002 37777 43903 44924 52503 67386 70004 75554 87806 105006 113331 131709 134772 151108 175612 210012 226662 263418 415547 453324 482933 526836 831094 965866 1246641 1448799 1624411 1662188 1931732 2493282 2897598 3248822 4873233 4986564 5795196 6497644 9746466 17868521 19492932 35737042 53605563 71474084 107211126 214422252