Search a number
-
+
2232433434 = 2372116710303
BaseRepresentation
bin1000010100010000…
…0011101100011010
312202120201100221210
42011010003230122
514033000332214
61005304443550
7106215241200
oct20504035432
95676640853
102232433434
11a46172310
125237795b6
1329767913a
141726c1070
15d0ec6b59
hex85103b1a

2232433434 has 96 divisors (see below), whose sum is σ = 5751115776. Its totient is φ = 571142880.

The previous prime is 2232433393. The next prime is 2232433447. The reversal of 2232433434 is 4343342322.

It is a super-3 number, since 3×22324334343 (a number of 29 digits) contains 333 as substring.

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, 211527 + ... + 221829.

It is an arithmetic number, because the mean of its divisors is an integer number (59907456).

Almost surely, 22232433434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232433434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875557888).

2232433434 is an abundant number, since it is smaller than the sum of its proper divisors (3518682342).

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

2232433434 is a wasteful number, since it uses less digits than its factorization.

2232433434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400 (or 10393 counting only the distinct ones).

The product of its digits is 41472, while the sum is 30.

The square root of 2232433434 is about 47248.6342024825. The cubic root of 2232433434 is about 1306.9516038190.

Adding to 2232433434 its reverse (4343342322), we get a palindrome (6575775756).

The spelling of 2232433434 in words is "two billion, two hundred thirty-two million, four hundred thirty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 67 77 98 134 147 154 201 231 294 402 462 469 539 737 938 1078 1407 1474 1617 2211 2814 3234 3283 4422 5159 6566 9849 10303 10318 15477 19698 20606 30909 30954 36113 61818 72121 72226 108339 113333 144242 216363 216678 226666 339999 432726 504847 679998 690301 793331 1009694 1380602 1514541 1586662 2070903 2379993 3029082 4141806 4759986 4832107 5553317 7593311 9664214 11106634 14496321 15186622 16659951 22779933 28992642 33319902 33824749 45559866 53153177 67649498 101474247 106306354 159459531 202948494 318919062 372072239 744144478 1116216717 2232433434