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2214324323400 = 23352716314232273
BaseRepresentation
bin100000001110010000000…
…000111100010001001000
321211200120001212120002210
4200032100000330101020
5242234414011322100
64413125131025120
7315660010123620
oct40162000742110
97750501776083
102214324323400
117840a9398192
122b919889b1a0
13130a6b428447
147926114d880
153c8edc9ac50
hex2039003c448

2214324323400 has 384 divisors, whose sum is σ = 7902185656320. Its totient is φ = 502451527680.

The previous prime is 2214324323359. The next prime is 2214324323413. The reversal of 2214324323400 is 43234234122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 974184664 + ... + 974186936.

It is an arithmetic number, because the mean of its divisors is an integer number (20578608480).

Almost surely, 22214324323400 is an apocalyptic number.

2214324323400 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 2214324323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951092828160).

2214324323400 is an abundant number, since it is smaller than the sum of its proper divisors (5687861332920).

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

2214324323400 is a wasteful number, since it uses less digits than its factorization.

2214324323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2214324323400 its reverse (43234234122), we get a palindrome (2257558557522).

The spelling of 2214324323400 in words is "two trillion, two hundred fourteen billion, three hundred twenty-four million, three hundred twenty-three thousand, four hundred".