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1142221000 = 23534632467
BaseRepresentation
bin100010000010100…
…1110100011001000
32221121021211122111
41010011032203020
54314402033000
6305201432104
740206501244
oct10405164310
92847254574
101142221000
115368325a8
1227a63b634
1315284441b
14ab9ad424
156a425cba
hex4414e8c8

1142221000 has 64 divisors (see below), whose sum is σ = 2679655680. Its totient is φ = 455716800.

The previous prime is 1142220983. The next prime is 1142221027. The reversal of 1142221000 is 1222411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461767 + ... + 464233.

It is an arithmetic number, because the mean of its divisors is an integer number (41869620).

Almost surely, 21142221000 is an apocalyptic number.

1142221000 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 1142221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339827840).

1142221000 is an abundant number, since it is smaller than the sum of its proper divisors (1537434680).

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

1142221000 is a wasteful number, since it uses less digits than its factorization.

1142221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1142221000 is about 33796.7601997588. The cubic root of 1142221000 is about 1045.3218943799.

Adding to 1142221000 its reverse (1222411), we get a palindrome (1143443411).

The spelling of 1142221000 in words is "one billion, one hundred forty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 463 500 926 1000 1852 2315 2467 3704 4630 4934 9260 9868 11575 12335 18520 19736 23150 24670 46300 49340 57875 61675 92600 98680 115750 123350 231500 246700 308375 463000 493400 616750 1142221 1233500 2284442 2467000 4568884 5711105 9137768 11422210 22844420 28555525 45688840 57111050 114222100 142777625 228444200 285555250 571110500 1142221000