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200230465752 = 23332352177359
BaseRepresentation
bin1011101001111010101…
…0100111000011011000
3201010211101221120002000
42322132222213003120
511240032444401002
6231552401441000
720315616606552
oct2723652470330
9633741846060
10200230465752
1177a0a972569
1232980940160
1315b5ccb2445
1499969544d2
15531d7ea61c
hex2e9eaa70d8

200230465752 has 128 divisors (see below), whose sum is σ = 581499648000. Its totient is φ = 63718237440.

The previous prime is 200230465739. The next prime is 200230465793. The reversal of 200230465752 is 257564032002.

200230465752 is a `hidden beast` number, since 20 + 0 + 23 + 0 + 46 + 575 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2549649 + ... + 2627007.

It is an arithmetic number, because the mean of its divisors is an integer number (4542966000).

Almost surely, 2200230465752 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 200230465752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290749824000).

200230465752 is an abundant number, since it is smaller than the sum of its proper divisors (381269182248).

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

200230465752 is a wasteful number, since it uses less digits than its factorization.

200230465752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77918 (or 77908 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 200230465752 its reverse (257564032002), we get a palindrome (457794497754).

The spelling of 200230465752 in words is "two hundred billion, two hundred thirty million, four hundred sixty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 521 552 621 828 1042 1242 1563 1656 2084 2484 3126 4168 4689 4968 6252 9378 11983 12504 14067 18756 23966 28134 35949 37512 47932 56268 71898 77359 95864 107847 112536 143796 154718 215694 232077 287592 309436 323541 431388 464154 618872 647082 696231 862776 928308 1294164 1392462 1779257 1856616 2088693 2588328 2784924 3558514 4177386 5337771 5569848 7117028 8354772 10675542 14234056 16013313 16709544 21351084 32026626 40304039 42702168 48039939 64053252 80608078 96079878 120912117 128106504 161216156 192159756 241824234 322432312 362736351 384319512 483648468 725472702 926992897 967296936 1088209053 1450945404 1853985794 2176418106 2780978691 2901890808 3707971588 4352836212 5561957382 7415943176 8342936073 8705672424 11123914764 16685872146 22247829528 25028808219 33371744292 50057616438 66743488584 100115232876 200230465752