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554142220 = 225192234771
BaseRepresentation
bin100001000001111…
…000101000001100
31102121201100012221
4201001320220030
52113330022340
6130553105124
716506062662
oct4101705014
91377640187
10554142220
11264887285
121356b81a4
138aa60a08
145384ac32
15339b044a
hex21078a0c

554142220 has 144 divisors (see below), whose sum is σ = 1327269888. Its totient is φ = 193818240.

The previous prime is 554142209. The next prime is 554142221. The reversal of 554142220 is 22241455.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554142221) 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, 7804785 + ... + 7804855.

It is an arithmetic number, because the mean of its divisors is an integer number (9217152).

Almost surely, 2554142220 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 554142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663634944).

554142220 is an abundant number, since it is smaller than the sum of its proper divisors (773127668).

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

554142220 is a wasteful number, since it uses less digits than its factorization.

554142220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 554142220 is about 23540.2255724112. The cubic root of 554142220 is about 821.3729824079.

Adding to 554142220 its reverse (22241455), we get a palindrome (576383675).

The spelling of 554142220 in words is "five hundred fifty-four million, one hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 47 71 76 92 94 95 115 142 188 190 230 235 284 355 361 380 437 460 470 710 722 874 893 940 1081 1349 1420 1444 1633 1748 1786 1805 2162 2185 2698 3266 3337 3572 3610 4324 4370 4465 5396 5405 6532 6674 6745 7220 8165 8303 8740 8930 10810 13348 13490 16330 16606 16685 16967 17860 20539 21620 25631 26980 31027 32660 33212 33370 33934 41078 41515 51262 62054 63403 66740 67868 76751 82156 83030 84835 102524 102695 124108 126806 128155 153502 155135 166060 169670 205390 253612 256310 307004 310270 317015 339340 383755 390241 410780 512620 589513 620540 634030 767510 780482 1179026 1204657 1268060 1458269 1535020 1560964 1951205 2358052 2409314 2916538 2947565 3902410 4818628 5833076 5895130 6023285 7291345 7804820 11790260 12046570 14582690 24093140 27707111 29165380 55414222 110828444 138535555 277071110 554142220