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203012064 = 253229109223
BaseRepresentation
bin11000001100110…
…11011111100000
3112011000002012100
430012123133200
5403432341224
632051130400
75013400623
oct1406333740
9464002170
10203012064
11a465aa72
1257ba3a00
13330a02a8
141cd67dba
1512c51ac9
hexc19b7e0

203012064 has 144 divisors (see below), whose sum is σ = 605404800. Its totient is φ = 64447488.

The previous prime is 203012059. The next prime is 203012111. The reversal of 203012064 is 460210302.

It is a happy number.

203012064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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, 910257 + ... + 910479.

It is an arithmetic number, because the mean of its divisors is an integer number (4204200).

Almost surely, 2203012064 is an apocalyptic number.

203012064 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 203012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302702400).

203012064 is an abundant number, since it is smaller than the sum of its proper divisors (402392736).

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

203012064 is a wasteful number, since it uses less digits than its factorization.

203012064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 203012064 is about 14248.2302058887. The cubic root of 203012064 is about 587.7247080064.

Adding to 203012064 its reverse (460210302), we get a palindrome (663222366).

The spelling of 203012064 in words is "two hundred three million, twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 109 116 144 174 218 223 232 261 288 327 348 436 446 464 522 654 669 696 872 892 928 981 1044 1308 1338 1392 1744 1784 1962 2007 2088 2616 2676 2784 3161 3488 3568 3924 4014 4176 5232 5352 6322 6467 7136 7848 8028 8352 9483 10464 10704 12644 12934 15696 16056 18966 19401 21408 24307 25288 25868 28449 31392 32112 37932 38802 48614 50576 51736 56898 58203 64224 72921 75864 77604 97228 101152 103472 113796 116406 145842 151728 155208 194456 206944 218763 227592 232812 291684 303456 310416 388912 437526 455184 465624 583368 620832 704903 777824 875052 910368 931248 1166736 1409806 1750104 1862496 2114709 2333472 2819612 3500208 4229418 5639224 6344127 7000416 8458836 11278448 12688254 16917672 22556896 25376508 33835344 50753016 67670688 101506032 203012064