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2736228 = 22311191091
BaseRepresentation
bin1010011100000001100100
312011000101210
422130001210
51200024403
6134351420
732154225
oct12340144
95130353
102736228
1115a9850
12abb570
1374a591
1451324c
15390b03
hex29c064

2736228 has 48 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 784800.

The previous prime is 2736221. The next prime is 2736229. The reversal of 2736228 is 8226372.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 210 + 74 + 3 + 68 + 212 + 220 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 2736195 and 2736204.

It is not an unprimeable number, because it can be changed into a prime (2736221) 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, 1963 + ... + 3053.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

22736228 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 2736228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120).

2736228 is an abundant number, since it is smaller than the sum of its proper divisors (4602012).

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

2736228 is a wasteful number, since it uses less digits than its factorization.

2736228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1126 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2736228 is about 1654.1547690588. The cubic root of 2736228 is about 139.8676981416.

The spelling of 2736228 in words is "two million, seven hundred thirty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1091 1254 2182 2508 3273 4364 6546 12001 13092 20729 24002 36003 41458 48004 62187 72006 82916 124374 144012 228019 248748 456038 684057 912076 1368114 2736228