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200122434864 = 24341129484061
BaseRepresentation
bin1011101001100000111…
…0100000010100110000
3201010112212200000120000
42322120032200110300
511234322320403424
6231533542150000
720313135425652
oct2723016402460
9633485600500
10200122434864
1177964996340
1232950722300
1315b437b9441
1499864726d2
1553140ab3c9
hex2e983a0530

200122434864 has 200 divisors, whose sum is σ = 653657962320. Its totient is φ = 58551897600.

The previous prime is 200122434857. The next prime is 200122434881. The reversal of 200122434864 is 468434221002.

200122434864 is a `hidden beast` number, since 20 + 0 + 122 + 434 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171394 + ... + 655454.

Almost surely, 2200122434864 is an apocalyptic number.

200122434864 is a gapful number since it is divisible by the number (24) 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 200122434864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326828981160).

200122434864 is an abundant number, since it is smaller than the sum of its proper divisors (453535527456).

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

200122434864 is a wasteful number, since it uses less digits than its factorization.

200122434864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484121 (or 484106 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 200122434864 its reverse (468434221002), we get a palindrome (668556655866).

The spelling of 200122434864 in words is "two hundred billion, one hundred twenty-two million, four hundred thirty-four thousand, eight hundred sixty-four".