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2231401320 = 2332552111897
BaseRepresentation
bin1000010100000000…
…0111101101101000
312202111202221011100
42011000013231220
514032214320240
61005230401400
7106203412131
oct20500075550
95674687140
102231401320
11a45627925
12523360260
132973a7415
141724d2c88
15d0d70e30
hex85007b68

2231401320 has 96 divisors (see below), whose sum is σ = 7266584520. Its totient is φ = 593848320.

The previous prime is 2231401313. The next prime is 2231401339. The reversal of 2231401320 is 231041322.

2231401320 is a `hidden beast` number, since 2 + 231 + 401 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2127238884 + 104162436 = 46122^2 + 10206^2 .

It is a super-3 number, since 3×22314013203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2231401293 and 2231401302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181612 + ... + 193508.

Almost surely, 22231401320 is an apocalyptic number.

2231401320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633292260).

2231401320 is an abundant number, since it is smaller than the sum of its proper divisors (5035183200).

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

2231401320 is a wasteful number, since it uses less digits than its factorization.

2231401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12435 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2231401320 is about 47237.7107828057. The cubic root of 2231401320 is about 1306.7501598160.

Adding to 2231401320 its reverse (231041322), we get a palindrome (2462442642).

The spelling of 2231401320 in words is "two billion, two hundred thirty-one million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 521 1042 1563 2084 2605 3126 4168 4689 5210 6252 7815 9378 10420 11897 12504 15630 18756 20840 23445 23794 31260 35691 37512 46890 47588 59485 62520 71382 93780 95176 107073 118970 142764 178455 187560 214146 237940 285528 356910 428292 475880 535365 713820 856584 1070730 1427640 2141460 4282920 6198337 12396674 18595011 24793348 30991685 37190022 49586696 55785033 61983370 74380044 92975055 111570066 123966740 148760088 185950110 223140132 247933480 278925165 371900220 446280264 557850330 743800440 1115700660 2231401320