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228477936 = 24331233659
BaseRepresentation
bin11011001111001…
…00101111110000
3120220220212210210
431213210233300
5431442243221
634401024120
75443013301
oct1547445760
9526825723
10228477936
11107a73945
1264625040
133844855b
14224b67a8
15150d2276
hexd9e4bf0

228477936 has 80 divisors (see below), whose sum is σ = 612817920. Its totient is φ = 73274880.

The previous prime is 228477917. The next prime is 228477937. The reversal of 228477936 is 639774822.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228477937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346375 + ... + 347033.

It is an arithmetic number, because the mean of its divisors is an integer number (7660224).

Almost surely, 2228477936 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 228477936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306408960).

228477936 is an abundant number, since it is smaller than the sum of its proper divisors (384339984).

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

228477936 is a wasteful number, since it uses less digits than its factorization.

228477936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 228477936 is about 15115.4866279588. The cubic root of 228477936 is about 611.3380428630.

The spelling of 228477936 in words is "two hundred twenty-eight million, four hundred seventy-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 233 248 372 466 496 659 699 744 932 1318 1398 1488 1864 1977 2636 2796 3728 3954 5272 5592 7223 7908 10544 11184 14446 15816 20429 21669 28892 31632 40858 43338 57784 61287 81716 86676 115568 122574 153547 163432 173352 245148 307094 326864 346704 460641 490296 614188 921282 980592 1228376 1842564 2456752 3685128 4759957 7370256 9519914 14279871 19039828 28559742 38079656 57119484 76159312 114238968 228477936