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554226480 = 243256112619
BaseRepresentation
bin100001000010001…
…101001100110000
31102121212121210200
4201002031030300
52113340221410
6130554555200
716506563433
oct4102151460
91377777720
10554226480
11264934615
12135738b00
138aa90182
145386d81a
15339ca3c0
hex2108d330

554226480 has 120 divisors (see below), whose sum is σ = 1891939920. Its totient is φ = 145359360.

The previous prime is 554226461. The next prime is 554226529. The reversal of 554226480 is 84622455.

It is a happy number.

554226480 is a `hidden beast` number, since 5 + 5 + 4 + 2 + 2 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5542264802 = 614333982266380800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37611 + ... + 50229.

It is an arithmetic number, because the mean of its divisors is an integer number (15766166).

Almost surely, 2554226480 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 554226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945969960).

554226480 is an abundant number, since it is smaller than the sum of its proper divisors (1337713440).

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

554226480 is a wasteful number, since it uses less digits than its factorization.

554226480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12699 (or 12690 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 554226480 is about 23542.0152068594. The cubic root of 554226480 is about 821.4146115406.

The spelling of 554226480 in words is "five hundred fifty-four million, two hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 12619 14640 21960 25238 37857 43920 50476 63095 75714 100952 113571 126190 151428 189285 201904 227142 252380 302856 378570 454284 504760 567855 605712 757140 769759 908568 1009520 1135710 1514280 1539518 1817136 2271420 2309277 3028560 3079036 3848795 4542840 4618554 6158072 6927831 7697590 9085680 9237108 11546385 12316144 13855662 15395180 18474216 23092770 27711324 30790360 34639155 36948432 46185540 55422648 61580720 69278310 92371080 110845296 138556620 184742160 277113240 554226480