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10224222320 = 2451373137983
BaseRepresentation
bin10011000010110100…
…10100000001110000
3222101112200022022202
421201122110001300
5131414400103240
64410312322332
7511236312224
oct114132240160
928345608282
1010224222320
114377341614
121b940a33a8
13c6c2a59c0
146cdc4c784
153ec8ee315
hex261694070

10224222320 has 160 divisors (see below), whose sum is σ = 26166575232. Its totient is φ = 3692445696.

The previous prime is 10224222317. The next prime is 10224222341. The reversal of 10224222320 is 2322242201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10224222292 and 10224222301.

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, 10400549 + ... + 10401531.

Almost surely, 210224222320 is an apocalyptic number.

10224222320 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 10224222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083287616).

10224222320 is an abundant number, since it is smaller than the sum of its proper divisors (15942352912).

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

10224222320 is a wasteful number, since it uses less digits than its factorization.

10224222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10224222320 its reverse (2322242201), we get a palindrome (12546464521).

The spelling of 10224222320 in words is "ten billion, two hundred twenty-four million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 137 146 208 260 274 292 365 520 548 584 685 730 949 983 1040 1096 1168 1370 1460 1781 1898 1966 2192 2740 2920 3562 3796 3932 4745 4915 5480 5840 7124 7592 7864 8905 9490 9830 10001 10960 12779 14248 15184 15728 17810 18980 19660 20002 25558 28496 35620 37960 39320 40004 50005 51116 63895 71240 71759 75920 78640 80008 100010 102232 127790 130013 134671 142480 143518 160016 200020 204464 255580 260026 269342 287036 358795 400040 511160 520052 538684 574072 650065 673355 717590 800080 932867 1022320 1040104 1077368 1148144 1300130 1346710 1435180 1750723 1865734 2080208 2154736 2600260 2693420 2870360 3501446 3731468 4664335 5200520 5386840 5740720 7002892 7462936 8753615 9328670 9830983 10401040 10773680 14005784 14925872 17507230 18657340 19661966 28011568 35014460 37314680 39323932 49154915 70028920 74629360 78647864 98309830 127802779 140057840 157295728 196619660 255605558 393239320 511211116 639013895 786478640 1022422232 1278027790 2044844464 2556055580 5112111160 10224222320