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2228088 = 2331743127
BaseRepresentation
bin1000011111111101111000
311012012100210
420133331320
51032244323
6115431120
724636612
oct10377570
94165323
102228088
111291aa5
128b54a0
136001c5
1441ddb2
152e0293
hex21ff78

2228088 has 64 divisors (see below), whose sum is σ = 6082560. Its totient is φ = 677376.

The previous prime is 2228081. The next prime is 2228089. The reversal of 2228088 is 8808222.

It is a super-2 number, since 2×22280882 = 9928752271488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228081) 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, 17481 + ... + 17607.

It is an arithmetic number, because the mean of its divisors is an integer number (95040).

22228088 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 2228088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041280).

2228088 is an abundant number, since it is smaller than the sum of its proper divisors (3854472).

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

2228088 is a wasteful number, since it uses less digits than its factorization.

2228088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2228088 is about 1492.6781300736. The cubic root of 2228088 is about 130.6103058797.

The spelling of 2228088 in words is "two million, two hundred twenty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 127 129 136 172 204 254 258 344 381 408 508 516 731 762 1016 1032 1462 1524 2159 2193 2924 3048 4318 4386 5461 5848 6477 8636 8772 10922 12954 16383 17272 17544 21844 25908 32766 43688 51816 65532 92837 131064 185674 278511 371348 557022 742696 1114044 2228088