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2002020144 = 243432274273
BaseRepresentation
bin111011101010100…
…0110011100110000
312011112011011100020
41313111012130300
513100004121034
6530354123440
7100416614265
oct16725063460
95145134306
102002020144
119380a7403
1247a580580
1325ba03a07
1414dc6326c
15bab61249
hex77546730

2002020144 has 80 divisors (see below), whose sum is σ = 5316719232. Its totient is φ = 648797184.

The previous prime is 2002020121. The next prime is 2002020149. The reversal of 2002020144 is 4410202002.

It is not an unprimeable number, because it can be changed into a prime (2002020149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466392 + ... + 470664.

Almost surely, 22002020144 is an apocalyptic number.

2002020144 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 2002020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658359616).

2002020144 is an abundant number, since it is smaller than the sum of its proper divisors (3314699088).

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

2002020144 is a wasteful number, since it uses less digits than its factorization.

2002020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2002020144 is about 44743.9397460706. The cubic root of 2002020144 is about 1260.3451108078.

Adding to 2002020144 its reverse (4410202002), we get a palindrome (6412222146).

The spelling of 2002020144 in words is "two billion, two million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 227 258 344 454 516 681 688 908 1032 1362 1816 2064 2724 3632 4273 5448 8546 9761 10896 12819 17092 19522 25638 29283 34184 39044 51276 58566 68368 78088 102552 117132 156176 183739 205104 234264 367478 468528 551217 734956 969971 1102434 1469912 1939942 2204868 2909913 2939824 3879884 4409736 5819826 7759768 8819472 11639652 15519536 23279304 41708753 46558608 83417506 125126259 166835012 250252518 333670024 500505036 667340048 1001010072 2002020144