Search a number
-
+
2230445120 = 26571127773
BaseRepresentation
bin1000010011110001…
…1110010001000000
312202102222100111112
42010330132101000
514031443220440
61005154102452
7106162320311
oct20474362100
95672870445
102230445120
11a45034482
12522b7aa28
13297131117
14172324608
15d0c32965
hex84f1e440

2230445120 has 112 divisors (see below), whose sum is σ = 5435486208. Its totient is φ = 871557120.

The previous prime is 2230445111. The next prime is 2230445123. The reversal of 2230445120 is 215440322.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2230445123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2885054 + ... + 2885826.

Almost surely, 22230445120 is an apocalyptic number.

2230445120 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 2230445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717743104).

2230445120 is an abundant number, since it is smaller than the sum of its proper divisors (3205041088).

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

2230445120 is a wasteful number, since it uses less digits than its factorization.

2230445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2230445120 is about 47227.5885473735. The cubic root of 2230445120 is about 1306.5634769731.

Adding to 2230445120 its reverse (215440322), we get a palindrome (2445885442).

The spelling of 2230445120 in words is "two billion, two hundred thirty million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 127 142 160 254 284 320 355 508 568 635 710 773 1016 1136 1270 1420 1546 2032 2272 2540 2840 3092 3865 4064 4544 5080 5680 6184 7730 8128 9017 10160 11360 12368 15460 18034 20320 22720 24736 30920 36068 40640 45085 49472 54883 61840 72136 90170 98171 109766 123680 144272 180340 196342 219532 247360 274415 288544 360680 392684 439064 490855 548830 577088 721360 785368 878128 981710 1097660 1442720 1570736 1756256 1963420 2195320 2885440 3141472 3512512 3926840 4390640 6282944 6970141 7853680 8781280 13940282 15707360 17562560 27880564 31414720 34850705 55761128 69701410 111522256 139402820 223044512 278805640 446089024 557611280 1115222560 2230445120