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552226932450 = 23452116772
BaseRepresentation
bin10000000100100110100…
…10100100011011100010
31221210101122101202220000
420002103102210123202
533021430043314300
61101404535400430
754616461322464
oct10022322443342
91853348352800
10552226932450
111a321a785896
128b037823116
13400c838babb
141ca29602134
15e570c64c00
hex80934a46e2

552226932450 has 90 divisors (see below), whose sum is σ = 1534504170771. Its totient is φ = 147247904160.

The previous prime is 552226932359. The next prime is 552226932457. The reversal of 552226932450 is 54239622255.

552226932450 is a `hidden beast` number, since 5 + 52 + 226 + 9 + 324 + 50 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 409621760289 + 142605172161 = 640017^2 + 377631^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=525465.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 552226932396 and 552226932405.

It is not an unprimeable number, because it can be changed into a prime (552226932457) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 47286012 + ... + 47297688.

Almost surely, 2552226932450 is an apocalyptic number.

552226932450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

552226932450 is an abundant number, since it is smaller than the sum of its proper divisors (982277238321).

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

552226932450 is an frugal number, since it uses more digits than its factorization.

552226932450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23378 (or 11687 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 552226932450 in words is "five hundred fifty-two billion, two hundred twenty-six million, nine hundred thirty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 11677 23354 35031 58385 70062 105093 116770 175155 210186 291925 315279 350310 525465 583850 630558 875775 945837 1050930 1576395 1751550 1891674 2627325 3152790 4729185 5254650 7881975 9458370 15763950 23645925 47291850 136352329 272704658 409056987 681761645 818113974 1227170961 1363523290 2045284935 2454341922 3408808225 3681512883 4090569870 6135854805 6817616450 7363025766 10226424675 11044538649 12271709610 18407564415 20452849350 22089077298 30679274025 36815128830 55222693245 61358548050 92037822075 110445386490 184075644150 276113466225 552226932450