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3222021240 = 233452343237
BaseRepresentation
bin1100000000001100…
…0010010001111000
322022112210122020000
43000003002101320
523044314134430
61251415033000
7142562504634
oct30003022170
98275718200
103222021240
111403824279
1275b06b760
133c46abc59
14227cbbdc4
1513ccece60
hexc00c2478

3222021240 has 160 divisors (see below), whose sum is σ = 11300683680. Its totient is φ = 821829888.

The previous prime is 3222021233. The next prime is 3222021247. The reversal of 3222021240 is 421202223.

It is an interprime number because it is at equal distance from previous prime (3222021233) and next prime (3222021247).

It is a super-3 number, since 3×32220212403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222021247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52902 + ... + 96138.

It is an arithmetic number, because the mean of its divisors is an integer number (70629273).

Almost surely, 23222021240 is an apocalyptic number.

3222021240 is a gapful number since it is divisible by the number (30) 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 3222021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650341840).

3222021240 is an abundant number, since it is smaller than the sum of its proper divisors (8078662440).

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

3222021240 is a wasteful number, since it uses less digits than its factorization.

3222021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43283 (or 43270 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3222021240 is about 56762.8508797788. The cubic root of 3222021240 is about 1476.9851642319.

Adding to 3222021240 its reverse (421202223), we get a palindrome (3643223463).

The spelling of 3222021240 in words is "three billion, two hundred twenty-two million, twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 270 276 324 345 360 405 414 460 540 552 621 648 690 810 828 920 1035 1080 1242 1380 1620 1656 1863 2070 2484 2760 3105 3240 3726 4140 4968 6210 7452 8280 9315 12420 14904 18630 24840 37260 43237 74520 86474 129711 172948 216185 259422 345896 389133 432370 518844 648555 778266 864740 994451 1037688 1167399 1297110 1556532 1729480 1945665 1988902 2334798 2594220 2983353 3113064 3502197 3891330 3977804 4669596 4972255 5188440 5836995 5966706 7004394 7782660 7955608 8950059 9339192 9944510 11673990 11933412 14008788 14916765 15565320 17510985 17900118 19889020 23347980 23866824 26850177 28017576 29833530 35021970 35800236 39778040 44750295 46695960 53700354 59667060 70043940 71600472 80550531 89500590 107400708 119334120 134250885 140087880 161101062 179001180 214801416 268501770 322202124 358002360 402752655 537003540 644404248 805505310 1074007080 1611010620 3222021240