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2231153316 = 223376914271
BaseRepresentation
bin1000010011111100…
…1011001010100100
312202111022022222000
42010333023022210
514032133401231
61005221205300
7106201330110
oct20477131244
95674268860
102231153316
11a45478567
12523260830
1329731b582
1417246a740
15d0d226e6
hex84fcb2a4

2231153316 has 96 divisors (see below), whose sum is σ = 6621941760. Its totient is φ = 636400800.

The previous prime is 2231153311. The next prime is 2231153329. The reversal of 2231153316 is 6133511322.

It is a super-3 number, since 3×22311533163 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2231153316.

It is not an unprimeable number, because it can be changed into a prime (2231153311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520261 + ... + 524531.

It is an arithmetic number, because the mean of its divisors is an integer number (68978560).

It is a self-describing number.

Almost surely, 22231153316 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 2231153316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310970880).

2231153316 is an abundant number, since it is smaller than the sum of its proper divisors (4390788444).

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

2231153316 is a wasteful number, since it uses less digits than its factorization.

2231153316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4974 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 2231153316 is about 47235.0856461593. The cubic root of 2231153316 is about 1306.7017461023.

Adding to 2231153316 its reverse (6133511322), we get a palindrome (8364664638).

The spelling of 2231153316 in words is "two billion, two hundred thirty-one million, one hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 691 756 1382 2073 2764 4146 4271 4837 6219 8292 8542 9674 12438 12813 14511 17084 18657 19348 24876 25626 29022 29897 37314 38439 43533 51252 58044 59794 74628 76878 87066 89691 115317 119588 130599 153756 174132 179382 230634 261198 269073 358764 461268 522396 538146 807219 1076292 1614438 2951261 3228876 5902522 8853783 11805044 17707566 20658827 26561349 35415132 41317654 53122698 61976481 79684047 82635308 106245396 123952962 159368094 185929443 247905924 318736188 371858886 557788329 743717772 1115576658 2231153316