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228169216 = 2911229127
BaseRepresentation
bin11011001100110…
…01011000000000
3120220100012022201
431212121120000
5431402403331
634350242544
75440256242
oct1546313000
9526305281
10228169216
11107882a00
12644b6454
133836ab92
1422436092
1515070a61
hexd999600

228169216 has 120 divisors (see below), whose sum is σ = 522466560. Its totient is φ = 99348480.

The previous prime is 228169163. The next prime is 228169217. The reversal of 228169216 is 612961822.

It is a super-2 number, since 2×2281692162 = 104122382260109312, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228169217) 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 11 ways as a sum of consecutive naturals, for example, 1796545 + ... + 1796671.

It is an arithmetic number, because the mean of its divisors is an integer number (4353888).

Almost surely, 2228169216 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 228169216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233280).

228169216 is an abundant number, since it is smaller than the sum of its proper divisors (294297344).

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

228169216 is a wasteful number, since it uses less digits than its factorization.

228169216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 228169216 is about 15105.2711329522. The cubic root of 228169216 is about 611.0625715521.

The spelling of 228169216 in words is "two hundred twenty-eight million, one hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 127 128 176 232 242 254 256 319 352 464 484 508 512 638 704 928 968 1016 1276 1397 1408 1856 1936 2032 2552 2794 2816 3509 3683 3712 3872 4064 5104 5588 5632 7018 7366 7424 7744 8128 10208 11176 14036 14732 14848 15367 15488 16256 20416 22352 28072 29464 30734 30976 32512 40513 40832 44704 56144 58928 61468 61952 65024 81026 81664 89408 112288 117856 122936 162052 163328 178816 224576 235712 245872 324104 357632 445643 449152 471424 491744 648208 715264 891286 898304 942848 983488 1296416 1782572 1796608 1885696 1966976 2592832 3565144 3933952 5185664 7130288 7867904 10371328 14260576 20742656 28521152 57042304 114084608 228169216