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228016152 = 233271322677
BaseRepresentation
bin11011001011101…
…00000000011000
3120220001102100200
431211310000120
5431333004102
634343102200
75436051060
oct1545640030
9526042320
10228016152
11107788a01
1264441960
1338316300
14223d63a0
151504051c
hexd974018

228016152 has 144 divisors (see below), whose sum is σ = 764515440. Its totient is φ = 60113664.

The previous prime is 228016141. The next prime is 228016153. The reversal of 228016152 is 251610822.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228016153) 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 35 ways as a sum of consecutive naturals, for example, 83838 + ... + 86514.

It is an arithmetic number, because the mean of its divisors is an integer number (5309135).

Almost surely, 2228016152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228016152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382257720).

228016152 is an abundant number, since it is smaller than the sum of its proper divisors (536499288).

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

228016152 is a wasteful number, since it uses less digits than its factorization.

228016152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 228016152 is about 15100.2037072352. The cubic root of 228016152 is about 610.9259001733.

Adding to 228016152 its reverse (251610822), we get a palindrome (479626974).

The spelling of 228016152 in words is "two hundred twenty-eight million, sixteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 2028 2184 2366 2677 3042 3276 3549 4056 4732 5354 6084 6552 7098 8031 9464 10647 10708 12168 14196 16062 18739 21294 21416 24093 28392 32124 34801 37478 42588 48186 56217 64248 69602 74956 85176 96372 104403 112434 139204 149912 168651 192744 208806 224868 243607 278408 313209 337302 417612 449736 452413 487214 626418 674604 730821 835224 904826 974428 1252836 1349208 1357239 1461642 1809652 1948856 2192463 2505672 2714478 2923284 3166891 3619304 4071717 4384926 5428956 5846568 6333782 8143434 8769852 9500673 10857912 12667564 16286868 17539704 19001346 25335128 28502019 32573736 38002692 57004038 76005384 114008076 228016152