Search a number
-
+
552022016 = 2127131481
BaseRepresentation
bin100000111001110…
…011000000000000
31102110201121211212
4200321303000000
52112304201031
6130435425252
716452052430
oct4071630000
91373647755
10552022016
11263669347
12134a55228
138a49a960
14534582c0
15336e212b
hex20e73000

552022016 has 104 divisors (see below), whose sum is σ = 1359574944. Its totient is φ = 218234880.

The previous prime is 552021973. The next prime is 552022021. The reversal of 552022016 is 610220255.

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-2 number, since 2×5520220162 = 609456612297408512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 552021982 and 552022000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371996 + ... + 373476.

It is an arithmetic number, because the mean of its divisors is an integer number (13072836).

Almost surely, 2552022016 is an apocalyptic number.

552022016 is a gapful number since it is divisible by the number (56) 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 552022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679787472).

552022016 is an abundant number, since it is smaller than the sum of its proper divisors (807552928).

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

552022016 is a wasteful number, since it uses less digits than its factorization.

552022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 552022016 is about 23495.1487758643. The cubic root of 552022016 is about 820.3240916017.

The spelling of 552022016 in words is "five hundred fifty-two million, twenty-two thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1481 1664 1792 2048 2912 2962 3328 3584 4096 5824 5924 6656 7168 10367 11648 11848 13312 14336 19253 20734 23296 23696 26624 28672 38506 41468 46592 47392 53248 77012 82936 93184 94784 134771 154024 165872 186368 189568 269542 308048 331744 372736 379136 539084 616096 663488 758272 1078168 1232192 1326976 1516544 2156336 2464384 2653952 3033088 4312672 4928768 5307904 6066176 8625344 9857536 10615808 17250688 19715072 21231616 34501376 39430144 42463232 69002752 78860288 138005504 276011008 552022016