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150022142200 = 23527881121633
BaseRepresentation
bin1000101110111000000…
…1000011100011111000
3112100020022010110021001
42023232001003203320
54424221132022300
6152530315054344
713560455111530
oct2135601034370
9470208113231
10150022142200
1158695651997
12250aa1413b4
13111bb032958
1473926b64c0
153d80a0516a
hex22ee0438f8

150022142200 has 96 divisors (see below), whose sum is σ = 399086019360. Its totient is φ = 51377356800.

The previous prime is 150022142197. The next prime is 150022142203. The reversal of 150022142200 is 2241220051.

It is an interprime number because it is at equal distance from previous prime (150022142197) and next prime (150022142203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150022142203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172584 + ... + 1294216.

It is an arithmetic number, because the mean of its divisors is an integer number (4157146035).

Almost surely, 2150022142200 is an apocalyptic number.

150022142200 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 150022142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199543009680).

150022142200 is an abundant number, since it is smaller than the sum of its proper divisors (249063877160).

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

150022142200 is a wasteful number, since it uses less digits than its factorization.

150022142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122537 (or 122528 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 150022142200 its reverse (2241220051), we get a palindrome (152263362251).

The spelling of 150022142200 in words is "one hundred fifty billion, twenty-two million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 881 1400 1762 3524 4405 6167 7048 8810 12334 17620 22025 24668 30835 35240 44050 49336 61670 88100 121633 123340 154175 176200 243266 246680 308350 486532 608165 616700 851431 973064 1216330 1233400 1702862 2432660 3040825 3405724 4257155 4865320 6081650 6811448 8514310 12163300 17028620 21285775 24326600 34057240 42571550 85143100 107158673 170286200 214317346 428634692 535793365 750110711 857269384 1071586730 1500221422 2143173460 2678966825 3000442844 3750553555 4286346920 5357933650 6000885688 7501107110 10715867300 15002214220 18752767775 21431734600 30004428440 37505535550 75011071100 150022142200