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230202343332342 = 232434091891338449
BaseRepresentation
bin110100010101111000101000…
…111001101001100111110110
31010012002010111010000010012200
4310111320220321221213312
5220133113344343113332
62133333255132325330
766326366444656533
oct6425705071514766
91105063433003180
10230202343332342
11673932a14a28a7
122199a90b013846
139b5acac354984
1440bbbd239dd8a
151b93157dbd17c
hexd15e28e699f6

230202343332342 has 96 divisors (see below), whose sum is σ = 511659296148000. Its totient is φ = 74760451670016.

The previous prime is 230202343332337. The next prime is 230202343332371. The reversal of 230202343332342 is 243233343202032.

230202343332342 is a `hidden beast` number, since 2 + 3 + 0 + 20 + 234 + 33 + 32 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 230202343332297 and 230202343332306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5987193534 + ... + 5987231982.

It is an arithmetic number, because the mean of its divisors is an integer number (5329784334875).

Almost surely, 2230202343332342 is an apocalyptic number.

230202343332342 is an abundant number, since it is smaller than the sum of its proper divisors (281456952815658).

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

230202343332342 is a wasteful number, since it uses less digits than its factorization.

230202343332342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57822 (or 57819 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 230202343332342 its reverse (243233343202032), we get a palindrome (473435686534374).

The spelling of 230202343332342 in words is "two hundred thirty trillion, two hundred two billion, three hundred forty-three million, three hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 409 774 818 1227 2454 3681 7362 17587 18913 35174 37826 38449 52761 56739 76898 105522 113478 115347 158283 170217 230694 316566 340434 346041 692082 813259 1626518 1653307 2439777 3306614 4879554 4959921 7319331 7735417 9919842 14638662 14879763 15470834 15725641 23206251 29759526 31451282 46412502 47176923 69618753 94353846 139237506 141530769 283061538 332622931 665245862 676202563 727185937 997868793 1352405126 1454371874 1995737586 2028607689 2181557811 2993606379 4057215378 4363115622 5987212758 6085823067 6544673433 12171646134 13089346866 31268995291 62537990582 93806985873 187613971746 281420957619 297419048233 562841915238 594838096466 892257144699 1784514289398 2676771434097 5353542868194 12789019074019 25578038148038 38367057222057 76734114444114 115101171666171 230202343332342