Search a number
-
+
2253616650 = 232525419257
BaseRepresentation
bin1000011001010011…
…0111011000001010
312211001120120212100
42012110313120022
514103411213100
61011342454230
7106563265635
oct20624673012
95731516770
102253616650
11a571205aa
1252a894376
1329bb84c9c
14175436c1c
15d2cad400
hex8653760a

2253616650 has 72 divisors (see below), whose sum is σ = 6066563724. Its totient is φ = 599788800.

The previous prime is 2253616643. The next prime is 2253616663. The reversal of 2253616650 is 566163522.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 228886641 + 2024730009 = 15129^2 + 44997^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 238822 + ... + 248078.

Almost surely, 22253616650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253616650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033281862).

2253616650 is an abundant number, since it is smaller than the sum of its proper divisors (3812947074).

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

2253616650 is a wasteful number, since it uses less digits than its factorization.

2253616650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9816 (or 9808 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2253616650 is about 47472.2724334953. The cubic root of 2253616650 is about 1311.0724178762.

The spelling of 2253616650 in words is "two billion, two hundred fifty-three million, six hundred sixteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 541 1082 1623 2705 3246 4869 5410 8115 9257 9738 13525 16230 18514 24345 27050 27771 40575 46285 48690 55542 81150 83313 92570 121725 138855 166626 231425 243450 277710 416565 462850 694275 833130 1388550 2082825 4165650 5008037 10016074 15024111 25040185 30048222 45072333 50080370 75120555 90144666 125200925 150241110 225361665 250401850 375602775 450723330 751205550 1126808325 2253616650