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2258402412 = 2237892691123
BaseRepresentation
bin1000011010011100…
…0111110001101100
312211101120201200210
42012213013301230
514111122334122
61012033222420
7106652050410
oct20647076154
95741521623
102258402412
11a5989a182
12530401a10
1329cb6c3b6
14175d20d40
15d340640c
hex869c7c6c

2258402412 has 96 divisors (see below), whose sum is σ = 6118156800. Its totient is φ = 635069952.

The previous prime is 2258402389. The next prime is 2258402423. The reversal of 2258402412 is 2142048522.

2258402412 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2258402412.

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, 2010483 + ... + 2011605.

It is an arithmetic number, because the mean of its divisors is an integer number (63730800).

Almost surely, 22258402412 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 2258402412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059078400).

2258402412 is an abundant number, since it is smaller than the sum of its proper divisors (3859754388).

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

2258402412 is a wasteful number, since it uses less digits than its factorization.

2258402412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 2258402412 is about 47522.6515674368. The cubic root of 2258402412 is about 1311.9998226192. Note that the first 3 decimals are identical.

The spelling of 2258402412 in words is "two billion, two hundred fifty-eight million, four hundred two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 269 356 534 538 623 807 1068 1076 1123 1246 1614 1869 1883 2246 2492 3228 3369 3738 3766 4492 5649 6738 7476 7532 7861 11298 13476 15722 22596 23583 23941 31444 47166 47882 71823 94332 95764 99947 143646 167587 199894 287292 299841 302087 335174 399788 502761 599682 604174 670348 699629 906261 1005522 1199364 1208348 1399258 1812522 2011044 2098887 2114609 2798516 3625044 4197774 4229218 6343827 8395548 8458436 12687654 25375308 26885743 53771486 80657229 107542972 161314458 188200201 322628916 376400402 564600603 752800804 1129201206 2258402412