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1142213200 = 245216717099
BaseRepresentation
bin100010000010100…
…1100101001010000
32221121021102221121
41010011030221100
54314401310300
6305201332024
740206436432
oct10405145120
92847242847
101142213200
11536827757
1227a637014
131528409cb
14ab9aa652
156a42381a
hex4414ca50

1142213200 has 60 divisors (see below), whose sum is σ = 2760760800. Its totient is φ = 454122880.

The previous prime is 1142213183. The next prime is 1142213207. The reversal of 1142213200 is 23122411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142213207) 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, 58251 + ... + 75349.

It is an arithmetic number, because the mean of its divisors is an integer number (46012680).

Almost surely, 21142213200 is an apocalyptic number.

1142213200 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 1142213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380380400).

1142213200 is an abundant number, since it is smaller than the sum of its proper divisors (1618547600).

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

1142213200 is a wasteful number, since it uses less digits than its factorization.

1142213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17284 (or 17273 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1142213200 is about 33796.6448038855. The cubic root of 1142213200 is about 1045.3195149427.

Adding to 1142213200 its reverse (23122411), we get a palindrome (1165335611).

The spelling of 1142213200 in words is "one billion, one hundred forty-two million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 167 200 334 400 668 835 1336 1670 2672 3340 4175 6680 8350 13360 16700 17099 33400 34198 66800 68396 85495 136792 170990 273584 341980 427475 683960 854950 1367920 1709900 2855533 3419800 5711066 6839600 11422132 14277665 22844264 28555330 45688528 57110660 71388325 114221320 142776650 228442640 285553300 571106600 1142213200