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2231094528 = 28321374489
BaseRepresentation
bin1000010011111011…
…1100110100000000
312202111012100022200
42010332330310000
514032130011103
61005220033200
7106200663525
oct20476746400
95674170280
102231094528
11a45438383
12523232800
132972ca8a0
1417245314c
15d0d100a3
hex84fbcd00

2231094528 has 108 divisors (see below), whose sum is σ = 6927718980. Its totient is φ = 686481408.

The previous prime is 2231094527. The next prime is 2231094533. The reversal of 2231094528 is 8254901322.

It is a happy number.

2231094528 is a `hidden beast` number, since 2 + 23 + 109 + 4 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 868598784 + 1362495744 = 29472^2 + 36912^2 .

It is a super-3 number, since 3×22310945283 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2231094492 and 2231094501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231094527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7293 + ... + 67196.

Almost surely, 22231094528 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 2231094528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463859490).

2231094528 is an abundant number, since it is smaller than the sum of its proper divisors (4696624452).

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

2231094528 is a wasteful number, since it uses less digits than its factorization.

2231094528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74524 (or 74507 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2231094528 is about 47234.4633503970. The cubic root of 2231094528 is about 1306.6902693686.

The spelling of 2231094528 in words is "two billion, two hundred thirty-one million, ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 74489 148978 223467 297956 446934 595912 670401 893868 968357 1191824 1340802 1787736 1936714 2383648 2681604 2905071 3575472 3873428 4767296 5363208 5810142 7150944 7746856 8715213 9534592 10726416 11620284 14301888 15493712 17430426 19069184 21452832 23240568 28603776 30987424 34860852 42905664 46481136 57207552 61974848 69721704 85811328 92962272 123949696 139443408 171622656 185924544 247899392 278886816 371849088 557773632 743698176 1115547264 2231094528