Search a number
-
+
1114213200 = 243521948869
BaseRepresentation
bin100001001101001…
…1000101101010000
32212122120220011120
41002122120231100
54240214310300
6302321242240
736416440662
oct10232305520
92778526146
101114213200
11521a42961
12271193380
13149ab9169
14a7d9c532
1567c423a0
hex42698b50

1114213200 has 120 divisors (see below), whose sum is σ = 3757125600. Its totient is φ = 281479680.

The previous prime is 1114213189. The next prime is 1114213231. The reversal of 1114213200 is 23124111.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1114213200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635 + ... + 47234.

It is an arithmetic number, because the mean of its divisors is an integer number (31309380).

Almost surely, 21114213200 is an apocalyptic number.

1114213200 is a gapful number since it is divisible by the number (10) 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 1114213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878562800).

1114213200 is an abundant number, since it is smaller than the sum of its proper divisors (2642912400).

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

1114213200 is a wasteful number, since it uses less digits than its factorization.

1114213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48909 (or 48898 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1114213200 is about 33379.8322344496. The cubic root of 1114213200 is about 1036.7071641604.

Adding to 1114213200 its reverse (23124111), we get a palindrome (1137337311).

It can be divided in two parts, 11142 and 13200, that added together give a palindrome (24342).

The spelling of 1114213200 in words is "one billion, one hundred fourteen million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 48869 97738 146607 195476 244345 293214 390952 488690 586428 733035 781904 928511 977380 1172856 1221725 1466070 1857022 1954760 2345712 2443450 2785533 2932140 3665175 3714044 3909520 4642555 4886900 5571066 5864280 7330350 7428088 9285110 9773800 11142132 11728560 13927665 14660700 14856176 18570220 19547600 22284264 23212775 27855330 29321400 37140440 44568528 46425550 55710660 58642800 69638325 74280880 92851100 111421320 139276650 185702200 222842640 278553300 371404400 557106600 1114213200