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2223215120 = 245717347673
BaseRepresentation
bin1000010010000011…
…1001001000010000
312201221101000210202
42010200321020100
514023120340440
61004335114332
7106044005510
oct20440711020
95657330722
102223215120
11a40a46475
125206729a8
1329579c309
141713a1840
15d02a5615
hex84839210

2223215120 has 160 divisors (see below), whose sum is σ = 6282240768. Its totient is φ = 714276864.

The previous prime is 2223215107. The next prime is 2223215153. The reversal of 2223215120 is 215123222.

It is a super-2 number, since 2×22232151202 = 9885370939593228800, which contains 22 as substring.

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 = 2223215092 and 2223215101.

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, 3303104 + ... + 3303776.

Almost surely, 22223215120 is an apocalyptic number.

2223215120 is a gapful number since it is divisible by the number (20) 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 2223215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141120384).

2223215120 is an abundant number, since it is smaller than the sum of its proper divisors (4059025648).

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

2223215120 is a wasteful number, since it uses less digits than its factorization.

2223215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2223215120 is about 47150.9821742877. The cubic root of 2223215120 is about 1305.1502046199.

Adding to 2223215120 its reverse (215123222), we get a palindrome (2438338342).

The spelling of 2223215120 in words is "two billion, two hundred twenty-three million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 347 476 560 595 673 680 694 952 1190 1346 1360 1388 1735 1904 2380 2429 2692 2776 3365 3470 4711 4760 4858 5384 5552 5899 6730 6940 9422 9520 9716 10768 11441 11798 12145 13460 13880 18844 19432 22882 23555 23596 24290 26920 27760 29495 37688 38864 41293 45764 47110 47192 48580 53840 57205 58990 75376 80087 82586 91528 94220 94384 97160 114410 117980 160174 165172 183056 188440 194320 206465 228820 233531 235960 320348 330344 376880 400435 412930 457640 467062 471920 640696 660688 800870 825860 915280 934124 1167655 1281392 1601740 1634717 1651720 1868248 2335310 3203480 3269434 3303440 3736496 3970027 4670620 6406960 6538868 7940054 8173585 9341240 13077736 15880108 16347170 18682480 19850135 26155472 27790189 31760216 32694340 39700270 55580378 63520432 65388680 79400540 111160756 130777360 138950945 158801080 222321512 277901890 317602160 444643024 555803780 1111607560 2223215120