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10210224220 = 2257539671423
BaseRepresentation
bin10011000001001001…
…11010100001011100
3222100120100010112121
421200210322201130
5131402304133340
64405052312324
7511006321360
oct114044724134
928316303477
1010210224220
11436a450639
121b8b4726a4
13c694143c1
146cc0472a0
153eb58694a
hex26093a85c

10210224220 has 96 divisors (see below), whose sum is σ = 25010270208. Its totient is φ = 3428635392.

The previous prime is 10210224217. The next prime is 10210224247. The reversal of 10210224220 is 2242201201.

It is a junction number, because it is equal to n+sod(n) for n = 10210224194 and 10210224203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7174429 + ... + 7175851.

It is an arithmetic number, because the mean of its divisors is an integer number (260523648).

Almost surely, 210210224220 is an apocalyptic number.

10210224220 is a gapful number since it is divisible by the number (10) 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 10210224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12505135104).

10210224220 is an abundant number, since it is smaller than the sum of its proper divisors (14800045988).

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

10210224220 is a wasteful number, since it uses less digits than its factorization.

10210224220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10210224220 its reverse (2242201201), we get a palindrome (12452425421).

The spelling of 10210224220 in words is "ten billion, two hundred ten million, two hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 967 1060 1423 1484 1855 1934 2846 3710 3868 4835 5692 6769 7115 7420 9670 9961 13538 14230 19340 19922 27076 28460 33845 39844 49805 51251 67690 75419 99610 102502 135380 150838 199220 205004 256255 301676 358757 377095 512510 527933 717514 754190 1025020 1055866 1376041 1435028 1508380 1793785 2111732 2639665 2752082 3587570 5279330 5504164 6880205 7175140 9632287 10558660 13760410 19264574 27520820 38529148 48161435 72930173 96322870 145860346 192645740 291720692 364650865 510511211 729301730 1021022422 1458603460 2042044844 2552556055 5105112110 10210224220