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228631648 = 25721391049
BaseRepresentation
bin11011010000010…
…10010001100000
3120221012200122211
431220022101200
5432012203043
634404211504
75444223400
oct1550122140
9527180584
10228631648
11108069383
1264699b94
13384a04cb
1422516800
1515112a9d
hexda0a460

228631648 has 72 divisors (see below), whose sum is σ = 527877000. Its totient is φ = 97187328.

The previous prime is 228631643. The next prime is 228631687. The reversal of 228631648 is 846136822.

It is a self number, because there is not a number n which added to its sum of digits gives 228631648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228631643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217428 + ... + 218476.

It is an arithmetic number, because the mean of its divisors is an integer number (7331625).

Almost surely, 2228631648 is an apocalyptic number.

228631648 is a gapful number since it is divisible by the number (28) 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 228631648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263938500).

228631648 is an abundant number, since it is smaller than the sum of its proper divisors (299245352).

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

228631648 is a wasteful number, since it uses less digits than its factorization.

228631648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1197 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 228631648 is about 15120.5703596128. The cubic root of 228631648 is about 611.4751077798.

The spelling of 228631648 in words is "two hundred twenty-eight million, six hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 139 196 224 278 392 556 784 973 1049 1112 1568 1946 2098 2224 3892 4196 4448 6811 7343 7784 8392 13622 14686 15568 16784 27244 29372 31136 33568 51401 54488 58744 102802 108976 117488 145811 205604 217952 234976 291622 411208 583244 822416 1020677 1166488 1644832 2041354 2332976 4082708 4665952 7144739 8165416 14289478 16330832 28578956 32661664 57157912 114315824 228631648