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2342354005200 = 2435211382146441
BaseRepresentation
bin100010000101011111001…
…011011010110011010000
322021221000200022021021110
4202011133023122303100
5301334120111131300
64552021303253320
7331141500351216
oct42053713326320
98257020267243
102342354005200
11823428853070
12319b6974a240
1313cb63048b01
1481528a88cb6
1540de3b61550
hex2215f2dacd0

2342354005200 has 240 divisors, whose sum is σ = 8187781073472. Its totient is φ = 567682560000.

The previous prime is 2342354005181. The next prime is 2342354005279. The reversal of 2342354005200 is 25004532432.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50413980 + ... + 50460420.

Almost surely, 22342354005200 is an apocalyptic number.

2342354005200 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 2342354005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093890536736).

2342354005200 is an abundant number, since it is smaller than the sum of its proper divisors (5845427068272).

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

2342354005200 is a wasteful number, since it uses less digits than its factorization.

2342354005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50294 (or 50283 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 2342354005200 its reverse (25004532432), we get a palindrome (2367358537632).

The spelling of 2342354005200 in words is "two trillion, three hundred forty-two billion, three hundred fifty-four million, five thousand, two hundred".