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152226200 = 23527227479
BaseRepresentation
bin10010001001011…
…00100110011000
3101121102220002102
421010230212120
5302432214300
623034422532
73525621110
oct1104544630
9347386072
10152226200
1178a22885
1242b91a48
13256cb299
1416308040
15d56e0d5
hex912c998

152226200 has 96 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 51853440.

The previous prime is 152226199. The next prime is 152226209. The reversal of 152226200 is 2622251.

152226200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152226209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 317561 + ... + 318039.

It is an arithmetic number, because the mean of its divisors is an integer number (4240800).

Almost surely, 2152226200 is an apocalyptic number.

152226200 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 152226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

152226200 is an abundant number, since it is smaller than the sum of its proper divisors (254890600).

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

152226200 is a wasteful number, since it uses less digits than its factorization.

152226200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 152226200 is about 12337.9982168908. The cubic root of 152226200 is about 533.9449320631.

Adding to 152226200 its reverse (2622251), we get a palindrome (154848451).

The spelling of 152226200 in words is "one hundred fifty-two million, two hundred twenty-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 227 280 350 454 479 700 908 958 1135 1400 1589 1816 1916 2270 2395 3178 3353 3832 4540 4790 5675 6356 6706 7945 9080 9580 11350 11975 12712 13412 15890 16765 19160 22700 23950 26824 31780 33530 39725 45400 47900 63560 67060 79450 83825 95800 108733 134120 158900 167650 217466 317800 335300 434932 543665 670600 761131 869864 1087330 1522262 2174660 2718325 3044524 3805655 4349320 5436650 6089048 7611310 10873300 15222620 19028275 21746600 30445240 38056550 76113100 152226200