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214023380 = 22531615659
BaseRepresentation
bin11001100000110…
…11110011010100
3112220201111212212
430300123303110
5414242222010
633123132552
75206111604
oct1460336324
9486644785
10214023380
11aa8a0a2a
125b814158
133545726c
14205d2c04
1513bc9505
hexcc1bcd4

214023380 has 48 divisors (see below), whose sum is σ = 471636480. Its totient is φ = 81475200.

The previous prime is 214023367. The next prime is 214023389. The reversal of 214023380 is 83320412.

214023380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214023389) 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, 34991 + ... + 40649.

It is an arithmetic number, because the mean of its divisors is an integer number (9825760).

Almost surely, 2214023380 is an apocalyptic number.

214023380 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 214023380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235818240).

214023380 is an abundant number, since it is smaller than the sum of its proper divisors (257613100).

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

214023380 is a wasteful number, since it uses less digits than its factorization.

214023380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 214023380 is about 14629.5379284515. The cubic root of 214023380 is about 598.1641849972.

Adding to 214023380 its reverse (83320412), we get a palindrome (297343792).

The spelling of 214023380 in words is "two hundred fourteen million, twenty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 31 61 62 122 124 155 244 305 310 610 620 1220 1891 3782 5659 7564 9455 11318 18910 22636 28295 37820 56590 113180 175429 345199 350858 690398 701716 877145 1380796 1725995 1754290 3451990 3508580 6903980 10701169 21402338 42804676 53505845 107011690 214023380