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20130222024 = 233211109233183
BaseRepresentation
bin10010101111110110…
…101100111111001000
31220221220120020021200
4102233312230333020
5312211314101044
613125300304200
71311563030643
oct225766547710
956856506250
1020130222024
11859aa92830
123a996a2060
131b8a6704a3
14d8d702a5a
157cc3e0369
hex4afdacfc8

20130222024 has 96 divisors (see below), whose sum is σ = 60021561600. Its totient is φ = 6044077440.

The previous prime is 20130221983. The next prime is 20130222037. The reversal of 20130222024 is 42022203102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20130221988 and 20130222006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30264 + ... + 202919.

It is an arithmetic number, because the mean of its divisors is an integer number (625224600).

Almost surely, 220130222024 is an apocalyptic number.

20130222024 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 20130222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30010780800).

20130222024 is an abundant number, since it is smaller than the sum of its proper divisors (39891339576).

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

20130222024 is a wasteful number, since it uses less digits than its factorization.

20130222024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233315 (or 233308 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20130222024 its reverse (42022203102), we get a palindrome (62152425126).

The spelling of 20130222024 in words is "twenty billion, one hundred thirty million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 109 132 198 218 264 327 396 436 654 792 872 981 1199 1308 1962 2398 2616 3597 3924 4796 7194 7848 9592 10791 14388 21582 28776 43164 86328 233183 466366 699549 932732 1399098 1865464 2098647 2565013 2798196 4197294 5130026 5596392 7695039 8394588 10260052 15390078 16789176 20520104 23085117 25416947 30780156 46170234 50833894 61560312 76250841 92340468 101667788 152501682 184680936 203335576 228752523 279586417 305003364 457505046 559172834 610006728 838759251 915010092 1118345668 1677518502 1830020184 2236691336 2516277753 3355037004 5032555506 6710074008 10065111012 20130222024