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3223473920 = 28523223491
BaseRepresentation
bin1100000000100010…
…0100111100000000
322022122112102220222
43000020210330000
523100202131140
61251510122212
7142611035102
oct30010447400
98278472828
103223473920
111404626737
1275b650368
133c4a9a224
14228179572
1513ced85b5
hexc0224f00

3223473920 has 144 divisors (see below), whose sum is σ = 8109545472. Its totient is φ = 1225297920.

The previous prime is 3223473919. The next prime is 3223473931. The reversal of 3223473920 is 293743223.

It is a super-2 number, since 2×32234739202 = 20781568225840332800, which contains 22 as substring.

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, 6564875 + ... + 6565365.

It is an arithmetic number, because the mean of its divisors is an integer number (56316288).

Almost surely, 23223473920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054772736).

3223473920 is an abundant number, since it is smaller than the sum of its proper divisors (4886071552).

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

3223473920 is a wasteful number, since it uses less digits than its factorization.

3223473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 35.

The square root of 3223473920 is about 56775.6454829005. The cubic root of 3223473920 is about 1477.2071019822.

The spelling of 3223473920 in words is "three billion, two hundred twenty-three million, four hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 223 230 256 320 368 446 460 491 640 736 892 920 982 1115 1280 1472 1784 1840 1964 2230 2455 2944 3568 3680 3928 4460 4910 5129 5888 7136 7360 7856 8920 9820 10258 11293 14272 14720 15712 17840 19640 20516 22586 25645 28544 29440 31424 35680 39280 41032 45172 51290 56465 57088 62848 71360 78560 82064 90344 102580 109493 112930 125696 142720 157120 164128 180688 205160 218986 225860 285440 314240 328256 361376 410320 437972 451720 547465 628480 656512 722752 820640 875944 903440 1094930 1313024 1445504 1641280 1751888 1806880 2189860 2518339 2891008 3282560 3503776 3613760 4379720 5036678 6565120 7007552 7227520 8759440 10073356 12591695 14015104 14455040 17518880 20146712 25183390 28030208 35037760 40293424 50366780 70075520 80586848 100733560 140151040 161173696 201467120 322347392 402934240 644694784 805868480 1611736960 3223473920