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838222245120 = 283513234391663
BaseRepresentation
bin11000011001010011111…
…00000110110100000000
32222010121011000222020210
430030221330012310000
5102213134343320440
61441023551434120
7114362633345001
oct14145174066400
92863534028223
10838222245120
112a3540672227
12116552b25940
136107592a170
142c7da7ab1a8
1516c0dbb6a80
hexc329f06d00

838222245120 has 576 divisors, whose sum is σ = 3017014640640. Its totient is φ = 196792713216.

The previous prime is 838222245103. The next prime is 838222245137. The reversal of 838222245120 is 21542222838.

It is an interprime number because it is at equal distance from previous prime (838222245103) and next prime (838222245137).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504041409 + ... + 504043071.

It is an arithmetic number, because the mean of its divisors is an integer number (5237872640).

Almost surely, 2838222245120 is an apocalyptic number.

838222245120 is a gapful number since it is divisible by the number (80) 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 838222245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508507320320).

838222245120 is an abundant number, since it is smaller than the sum of its proper divisors (2178792395520).

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

838222245120 is a wasteful number, since it uses less digits than its factorization.

838222245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

Adding to 838222245120 its reverse (21542222838), we get a palindrome (859764467958).

The spelling of 838222245120 in words is "eight hundred thirty-eight billion, two hundred twenty-two million, two hundred forty-five thousand, one hundred twenty".