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230210100444 = 223198319163691
BaseRepresentation
bin1101011001100110010…
…1110101110011011100
3211000012201220210111110
43112121211311303130
512232432241203234
6253431305222020
722426551365412
oct3263145656334
9730181823443
10230210100444
11896a4666865
1238748a91910
131892a096a5c
14b1dc3bb2b2
155ec57501e9
hex3599975cdc

230210100444 has 96 divisors (see below), whose sum is σ = 575245762560. Its totient is φ = 71444894400.

The previous prime is 230210100443. The next prime is 230210100473. The reversal of 230210100444 is 444001012032.

It is a self number, because there is not a number n which added to its sum of digits gives 230210100444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230210100443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3582639 + ... + 3646329.

It is an arithmetic number, because the mean of its divisors is an integer number (5992143360).

Almost surely, 2230210100444 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 230210100444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287622881280).

230210100444 is an abundant number, since it is smaller than the sum of its proper divisors (345035662116).

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

230210100444 is a wasteful number, since it uses less digits than its factorization.

230210100444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63991 (or 63989 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 230210100444 its reverse (444001012032), we get a palindrome (674211112476).

The spelling of 230210100444 in words is "two hundred thirty billion, two hundred ten million, one hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 191 228 249 332 382 498 573 764 996 1146 1577 2292 3154 3629 4731 6308 7258 9462 10887 14516 15853 18924 21774 31706 43548 47559 63412 63691 95118 127382 190236 191073 254764 301207 382146 602414 764292 903621 1204828 1210129 1807242 2420258 3614484 3630387 4840516 5286353 7260774 10572706 12164981 14521548 15859059 21145412 24329962 31718118 36494943 48659924 63436236 72989886 100440707 145979772 200881414 231134639 301322121 401762828 462269278 602644242 693403917 924538556 1009693423 1205288484 1386807834 2019386846 2773615668 3029080269 4038773692 6058160538 12116321076 19184175037 38368350074 57552525111 76736700148 115105050222 230210100444