Search a number
-
+
228003822 = 2343183547
BaseRepresentation
bin11011001011100…
…00111111101110
3120220000210110000
431211300333232
5431332110242
634342525130
75436000114
oct1545607756
9526023400
10228003822
1110777a712
12644367a6
1338310807
14223d1ab4
151503ba4c
hexd970fee

228003822 has 80 divisors (see below), whose sum is σ = 534707712. Its totient is φ = 72530640.

The previous prime is 228003821. The next prime is 228003833. The reversal of 228003822 is 228300822.

228003822 is a `hidden beast` number, since 2 + 280 + 0 + 382 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228003821) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 416553 + ... + 417099.

Almost surely, 2228003822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228003822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267353856).

228003822 is an abundant number, since it is smaller than the sum of its proper divisors (306703890).

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

228003822 is a wasteful number, since it uses less digits than its factorization.

228003822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 228003822 is about 15099.7954290778. The cubic root of 228003822 is about 610.9148880117.

The spelling of 228003822 in words is "two hundred twenty-eight million, three thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 83 93 162 166 186 249 279 498 547 558 747 837 1094 1494 1641 1674 2241 2511 2573 3282 4482 4923 5022 5146 6723 7719 9846 13446 14769 15438 16957 23157 29538 33914 44307 45401 46314 50871 69471 88614 90802 101742 136203 138942 152613 208413 272406 305226 408609 416826 457839 817218 915678 1225827 1373517 1407431 2451654 2747034 2814862 3677481 4222293 7354962 8444586 12666879 25333758 38000637 76001274 114001911 228003822