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2234628 = 223511219
BaseRepresentation
bin1000100001100100000100
311012112100000
420201210010
51033002003
6115521300
724664644
oct10414404
94175300
102234628
111296a00
128b9230
13603186
14422524
152e21a3
hex221904

2234628 has 108 divisors (see below), whose sum is σ = 6777680. Its totient is φ = 641520.

The previous prime is 2234621. The next prime is 2234629. The reversal of 2234628 is 8264322.

2234628 is a `hidden beast` number, since 2 + 2 + 34 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2234621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117603 + ... + 117621.

22234628 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 2234628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388840).

2234628 is an abundant number, since it is smaller than the sum of its proper divisors (4543052).

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

2234628 is a wasteful number, since it uses less digits than its factorization.

2234628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 35 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2234628 is about 1494.8672181836. The cubic root of 2234628 is about 130.7379724418.

It can be divided in two parts, 223 and 4628, that added together give a triangular number (4851 = T98).

The spelling of 2234628 in words is "two million, two hundred thirty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 121 132 162 171 198 209 228 242 243 297 324 342 363 396 418 484 486 513 594 627 684 726 836 891 972 1026 1089 1188 1254 1452 1539 1782 1881 2052 2178 2299 2508 2673 3078 3267 3564 3762 4356 4598 4617 5346 5643 6156 6534 6897 7524 9196 9234 9801 10692 11286 13068 13794 16929 18468 19602 20691 22572 27588 29403 33858 39204 41382 50787 58806 62073 67716 82764 101574 117612 124146 186219 203148 248292 372438 558657 744876 1117314 2234628