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202201200144 = 2432231034571297
BaseRepresentation
bin1011110001010000100…
…0010111011000010000
3201022220202020020102200
42330110020113120100
511303102001401034
6232520121243200
720415506562066
oct2742410273020
9638822206380
10202201200144
1178831340479
1233230933500
13160b5380b78
149b02592036
1553d682ba99
hex2f14217610

202201200144 has 240 divisors, whose sum is σ = 597984321792. Its totient is φ = 63655206912.

The previous prime is 202201200143. The next prime is 202201200163. The reversal of 202201200144 is 441002102202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202201200143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155898504 + ... + 155899800.

Almost surely, 2202201200144 is an apocalyptic number.

202201200144 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 202201200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298992160896).

202201200144 is an abundant number, since it is smaller than the sum of its proper divisors (395783121648).

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

202201200144 is a wasteful number, since it uses less digits than its factorization.

202201200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202201200144 its reverse (441002102202), we get a palindrome (643203302346).

The spelling of 202201200144 in words is "two hundred two billion, two hundred one million, two hundred thousand, one hundred forty-four".