Search a number
-
+
554142200 = 235217349467
BaseRepresentation
bin100001000001111…
…000100111111000
31102121201100012012
4201001320213320
52113330022300
6130553105052
716506062633
oct4101704770
91377640165
10554142200
11264887267
121356b8188
138aa609c1
145384ac1a
15339b0435
hex210789f8

554142200 has 96 divisors (see below), whose sum is σ = 1371006000. Its totient is φ = 207575040.

The previous prime is 554142191. The next prime is 554142209. The reversal of 554142200 is 2241455.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (554142191) and next prime (554142209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554142209) 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, 1186367 + ... + 1186833.

Almost surely, 2554142200 is an apocalyptic number.

554142200 is a gapful number since it is divisible by the number (50) 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 554142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685503000).

554142200 is an abundant number, since it is smaller than the sum of its proper divisors (816863800).

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

554142200 is a wasteful number, since it uses less digits than its factorization.

554142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 554142200 is about 23540.2251476064. The cubic root of 554142200 is about 821.3729725263.

Adding to 554142200 its reverse (2241455), we get a palindrome (556383655).

The spelling of 554142200 in words is "five hundred fifty-four million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 349 425 467 680 698 850 934 1396 1700 1745 1868 2335 2792 3400 3490 3736 4670 5933 6980 7939 8725 9340 11675 11866 13960 15878 17450 18680 23350 23732 29665 31756 34900 39695 46700 47464 59330 63512 69800 79390 93400 118660 148325 158780 162983 198475 237320 296650 317560 325966 396950 593300 651932 793900 814915 1186600 1303864 1587800 1629830 2770711 3259660 4074575 5541422 6519320 8149150 11082844 13853555 16298300 22165688 27707110 32596600 55414220 69267775 110828440 138535550 277071100 554142200