Search a number
-
+
228137140 = 225721121163
BaseRepresentation
bin11011001100100…
…01100010110100
3120220021120022201
431212101202310
5431400342030
634345434244
75440063600
oct1546214264
9526246281
10228137140
111078608a0
126449b984
13383593ba
1422428500
15150662ca
hexd9918b4

228137140 has 72 divisors (see below), whose sum is σ = 607999392. Its totient is φ = 71104320.

The previous prime is 228137137. The next prime is 228137149. The reversal of 228137140 is 41731822.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 228137099 and 228137108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228137149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199 + ... + 21361.

It is an arithmetic number, because the mean of its divisors is an integer number (8444436).

Almost surely, 2228137140 is an apocalyptic number.

228137140 is a gapful number since it is divisible by the number (20) 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 228137140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303999696).

228137140 is an abundant number, since it is smaller than the sum of its proper divisors (379862252).

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

228137140 is a wasteful number, since it uses less digits than its factorization.

228137140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21197 (or 21188 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 228137140 is about 15104.2093470661. The cubic root of 228137140 is about 611.0339358434.

Adding to 228137140 its reverse (41731822), we get a palindrome (269868962).

The spelling of 228137140 in words is "two hundred twenty-eight million, one hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 21163 42326 84652 105815 148141 211630 232793 296282 423260 465586 592564 740705 931172 1036987 1163965 1481410 1629551 2073974 2327930 2962820 3259102 4147948 4655860 5184935 6518204 8147755 10369870 11406857 16295510 20739740 22813714 32591020 45627428 57034285 114068570 228137140