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334222920 = 2332519131373
BaseRepresentation
bin10011111010111…
…101011001001000
3212021220021122200
4103322331121020
51141030113140
653055320200
711165563563
oct2372753110
9767807580
10334222920
11161729699
1293b20060
1354320c55
14325614da
151e51e030
hex13ebd648

334222920 has 192 divisors, whose sum is σ = 1155211200. Its totient is φ = 83566080.

The previous prime is 334222919. The next prime is 334222921. The reversal of 334222920 is 29222433.

It is an interprime number because it is at equal distance from previous prime (334222919) and next prime (334222921).

It is a super-2 number, since 2×3342229202 = 223409920506652800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334222921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895854 + ... + 896226.

It is an arithmetic number, because the mean of its divisors is an integer number (6016725).

Almost surely, 2334222920 is an apocalyptic number.

334222920 is a gapful number since it is divisible by the number (30) 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 334222920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577605600).

334222920 is an abundant number, since it is smaller than the sum of its proper divisors (820988280).

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

334222920 is a wasteful number, since it uses less digits than its factorization.

334222920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 334222920 is about 18281.7646850625. The cubic root of 334222920 is about 693.9775314061.

It can be divided in two parts, 3342 and 22920, that added together give a palindrome (26262).

The spelling of 334222920 in words is "three hundred thirty-four million, two hundred twenty-two thousand, nine hundred twenty".