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200623072 = 25133147331
BaseRepresentation
bin10111111010101…
…00001111100000
3111222111201010011
423331110033200
5402324414242
631524014304
74654160626
oct1375241740
9458451104
10200623072
11a32790a1
1257231394
1332744aa0
141c905516
151292dd17
hexbf543e0

200623072 has 96 divisors (see below), whose sum is σ = 449777664. Its totient is φ = 87436800.

The previous prime is 200623061. The next prime is 200623081. The reversal of 200623072 is 270326002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605947 + ... + 606277.

It is an arithmetic number, because the mean of its divisors is an integer number (4685184).

Almost surely, 2200623072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200623072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224888832).

200623072 is an abundant number, since it is smaller than the sum of its proper divisors (249154592).

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

200623072 is a wasteful number, since it uses less digits than its factorization.

200623072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 200623072 is about 14164.1474152171. The cubic root of 200623072 is about 585.4102092816.

Adding to 200623072 its reverse (270326002), we get a palindrome (470949074).

The spelling of 200623072 in words is "two hundred million, six hundred twenty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 47 52 62 94 104 124 188 208 248 331 376 403 416 496 611 662 752 806 992 1222 1324 1457 1504 1612 2444 2648 2914 3224 4303 4888 5296 5828 6448 8606 9776 10261 10592 11656 12896 15557 17212 18941 19552 20522 23312 31114 34424 37882 41044 46624 62228 68848 75764 82088 124456 133393 137696 151528 164176 202241 248912 266786 303056 328352 404482 482267 497824 533572 606112 808964 964534 1067144 1617928 1929068 2134288 3235856 3858136 4268576 6269471 6471712 7716272 12538942 15432544 25077884 50155768 100311536 200623072