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1002222320 = 245117691481
BaseRepresentation
bin111011101111001…
…011001011110000
32120211212011120012
4323233023023300
54023032103240
6243241034052
733556514651
oct7357131360
92524764505
101002222320
11474801510
1223b785928
1312c837878
1497169528
155cebeb65
hex3bbcb2f0

1002222320 has 80 divisors (see below), whose sum is σ = 2547024480. Its totient is φ = 363724800.

The previous prime is 1002222311. The next prime is 1002222337. The reversal of 1002222320 is 232222001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1002222295 and 1002222304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675980 + ... + 677460.

It is an arithmetic number, because the mean of its divisors is an integer number (31837806).

Almost surely, 21002222320 is an apocalyptic number.

1002222320 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 1002222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273512240).

1002222320 is an abundant number, since it is smaller than the sum of its proper divisors (1544802160).

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

1002222320 is a wasteful number, since it uses less digits than its factorization.

1002222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1002222320 is about 31657.8950658442. The cubic root of 1002222320 is about 1000.7402252647.

Adding to 1002222320 its reverse (232222001), we get a palindrome (1234444321).

It can be divided in two parts, 1002 and 222320, that added together give a palindrome (223322).

The spelling of 1002222320 in words is "one billion, two million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 769 880 1481 1538 2962 3076 3845 5924 6152 7405 7690 8459 11848 12304 14810 15380 16291 16918 23696 29620 30760 32582 33836 42295 59240 61520 65164 67672 81455 84590 118480 130328 135344 162910 169180 260656 325820 338360 651640 676720 1138889 1303280 2277778 4555556 5694445 9111112 11388890 12527779 18222224 22777780 25055558 45555560 50111116 62638895 91111120 100222232 125277790 200444464 250555580 501111160 1002222320