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2145523232 = 25614012741
BaseRepresentation
bin111111111100010…
…0001011000100000
312112112011212120102
41333320201120200
513343223220412
6552522001532
7104111434526
oct17770413040
95475155512
102145523232
11a011013a6
124ba6462a8
13282669698
14164d3a316
15c855a8c2
hex7fe21620

2145523232 has 48 divisors (see below), whose sum is σ = 4305521304. Its totient is φ = 1052160000.

The previous prime is 2145523231. The next prime is 2145523243. The reversal of 2145523232 is 2323255412.

It can be written as a sum of positive squares in 4 ways, for example, as 1727566096 + 417957136 = 41564^2 + 20444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2145523195 and 2145523204.

It is not an unprimeable number, because it can be changed into a prime (2145523231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781382 + ... + 784122.

Almost surely, 22145523232 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 2145523232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152760652).

2145523232 is an abundant number, since it is smaller than the sum of its proper divisors (2159998072).

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

2145523232 is a wasteful number, since it uses less digits than its factorization.

2145523232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3205 counting only the distinct ones).

The product of its digits is 14400, while the sum is 29.

The square root of 2145523232 is about 46319.7930910750. The cubic root of 2145523232 is about 1289.7664445068.

Adding to 2145523232 its reverse (2323255412), we get a palindrome (4468778644).

The spelling of 2145523232 in words is "two billion, one hundred forty-five million, five hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 122 244 401 488 802 976 1604 1952 2741 3208 5482 6416 10964 12832 21928 24461 43856 48922 87712 97844 167201 195688 334402 391376 668804 782752 1099141 1337608 2198282 2675216 4396564 5350432 8793128 17586256 35172512 67047601 134095202 268190404 536380808 1072761616 2145523232