Search a number
-
+
554231106 = 233111325521
BaseRepresentation
bin100001000010001…
…110010101000010
31102121212212011000
4201002032111002
52113340343411
6130555032430
716506613062
oct4102162502
91377785130
10554231106
11264938040
1213573b716
138aa92300
14538713a2
15339cb956
hex2108e542

554231106 has 96 divisors (see below), whose sum is σ = 1455157440. Its totient is φ = 155001600.

The previous prime is 554231099. The next prime is 554231107. The reversal of 554231106 is 601132455.

554231106 is a `hidden beast` number, since 5 + 542 + 3 + 110 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 554231106.

It is not an unprimeable number, because it can be changed into a prime (554231107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97626 + ... + 103146.

It is an arithmetic number, because the mean of its divisors is an integer number (15157890).

Almost surely, 2554231106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554231106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727578720).

554231106 is an abundant number, since it is smaller than the sum of its proper divisors (900926334).

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

554231106 is a wasteful number, since it uses less digits than its factorization.

554231106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 554231106 is about 23542.1134565272. The cubic root of 554231106 is about 821.4168969200.

The spelling of 554231106 in words is "five hundred fifty-four million, two hundred thirty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 169 198 234 286 297 338 351 429 507 594 702 858 1014 1287 1521 1859 2574 3042 3718 3861 4563 5521 5577 7722 9126 11042 11154 16563 16731 33126 33462 49689 50193 60731 71773 99378 100386 121462 143546 149067 182193 215319 298134 364386 430638 546579 645957 789503 933049 1093158 1291914 1579006 1639737 1866098 1937871 2368509 2799147 3279474 3875742 4737018 5598294 7105527 8397441 10263539 14211054 16794882 20527078 21316581 25192323 30790617 42633162 50384646 61581234 92371851 184743702 277115553 554231106