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1331225304 = 233434792693
BaseRepresentation
bin100111101011000…
…1110001011011000
310102202221020210220
41033112032023120
510211243202204
6340032440040
744663141223
oct11726161330
93382836726
101331225304
11623495302
123119a9020
13182a4b8a6
14c8b2c5ba
157bd0c1d9
hex4f58e2d8

1331225304 has 64 divisors (see below), whose sum is σ = 3413836800. Its totient is φ = 432356736.

The previous prime is 1331225293. The next prime is 1331225353. The reversal of 1331225304 is 4035221331.

1331225304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492982 + ... + 495674.

It is an arithmetic number, because the mean of its divisors is an integer number (53341200).

Almost surely, 21331225304 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 1331225304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706918400).

1331225304 is an abundant number, since it is smaller than the sum of its proper divisors (2082611496).

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

1331225304 is a wasteful number, since it uses less digits than its factorization.

1331225304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1331225304 is about 36485.9603683389. The cubic root of 1331225304 is about 1100.0620637158.

Adding to 1331225304 its reverse (4035221331), we get a palindrome (5366446635).

The spelling of 1331225304 in words is "one billion, three hundred thirty-one million, two hundred twenty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 479 516 958 1032 1437 1916 2693 2874 3832 5386 5748 8079 10772 11496 16158 20597 21544 32316 41194 61791 64632 82388 115799 123582 164776 231598 247164 347397 463196 494328 694794 926392 1289947 1389588 2579894 2779176 3869841 5159788 7739682 10319576 15479364 30958728 55467721 110935442 166403163 221870884 332806326 443741768 665612652 1331225304