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1214373888 = 21332713181
BaseRepresentation
bin100100001100001…
…1110000000000000
310010122001120210200
41020120132000000
54441334431023
6320300125200
742044002440
oct11030360000
93118046720
101214373888
11573534092
1229a836800
13164787b40
14b73d2120
1571929743
hex4861e000

1214373888 has 336 divisors, whose sum is σ = 4341363936. Its totient is φ = 318504960.

The previous prime is 1214373883. The next prime is 1214373911. The reversal of 1214373888 is 8883734121.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214373883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6709158 + ... + 6709338.

It is an arithmetic number, because the mean of its divisors is an integer number (12920726).

Almost surely, 21214373888 is an apocalyptic number.

1214373888 is a gapful number since it is divisible by the number (18) 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 1214373888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170681968).

1214373888 is an abundant number, since it is smaller than the sum of its proper divisors (3126990048).

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

1214373888 is a wasteful number, since it uses less digits than its factorization.

1214373888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 206 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1214373888 is about 34847.8677683442. The cubic root of 1214373888 is about 1066.8846665544.

The spelling of 1214373888 in words is "one billion, two hundred fourteen million, three hundred seventy-three thousand, eight hundred eighty-eight".