Search a number
-
+
221429224650 = 23527360133647
BaseRepresentation
bin1100111000111000110…
…1011101010011001010
3210011112210011002101110
43032032031131103022
512111441340142100
6245420112431150
721666136232424
oct3161615352312
9704483132343
10221429224650
11859a902a917
1236ab82484b6
1317b5ab3866a
14aa08125814
155b5e909250
hex338e35d4ca

221429224650 has 96 divisors (see below), whose sum is σ = 557609810688. Its totient is φ = 58140288000.

The previous prime is 221429224637. The next prime is 221429224651. The reversal of 221429224650 is 56422924122.

It is a junction number, because it is equal to n+sod(n) for n = 221429224599 and 221429224608.

It is not an unprimeable number, because it can be changed into a prime (221429224651) 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, 6564127 + ... + 6597773.

It is an arithmetic number, because the mean of its divisors is an integer number (5808435528).

Almost surely, 2221429224650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221429224650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278804905344).

221429224650 is an abundant number, since it is smaller than the sum of its proper divisors (336180586038).

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

221429224650 is a wasteful number, since it uses less digits than its factorization.

221429224650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34336 (or 34331 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 221429224650 in words is "two hundred twenty-one billion, four hundred twenty-nine million, two hundred twenty-four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 73 75 146 150 219 365 438 601 730 1095 1202 1803 1825 2190 3005 3606 3650 5475 6010 9015 10950 15025 18030 30050 33647 43873 45075 67294 87746 90150 100941 131619 168235 201882 219365 263238 336470 438730 504705 658095 841175 1009410 1096825 1316190 1682350 2193650 2456231 2523525 3290475 4912462 5047050 6580950 7368693 12281155 14737386 20221847 24562310 36843465 40443694 60665541 61405775 73686930 101109235 121331082 122811550 184217325 202218470 303327705 368434650 505546175 606655410 1011092350 1476194831 1516638525 2952389662 3033277050 4428584493 7380974155 8857168986 14761948310 22142922465 36904870775 44285844930 73809741550 110714612325 221429224650