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2209066992 = 243411214087
BaseRepresentation
bin1000001110101011…
…1010111111110000
312200221202020020000
42003222322333300
514011010120432
61003111550000
7105512521356
oct20352727760
95627666200
102209066992
11a33a62800
1251798b300
13292887642
1416d55b7d6
15cde0d57c
hex83abaff0

2209066992 has 150 divisors (see below), whose sum is σ = 7028263704. Its totient is φ = 669366720.

The previous prime is 2209066991. The next prime is 2209067027. The reversal of 2209066992 is 2996609022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2209066991) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 149773 + ... + 163859.

Almost surely, 22209066992 is an apocalyptic number.

2209066992 is a gapful number since it is divisible by the number (22) 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 2209066992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514131852).

2209066992 is an abundant number, since it is smaller than the sum of its proper divisors (4819196712).

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

2209066992 is a wasteful number, since it uses less digits than its factorization.

2209066992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14129 (or 14103 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 2209066992 is about 47000.7126754478. The cubic root of 2209066992 is about 1302.3757330516.

The spelling of 2209066992 in words is "two billion, two hundred nine million, sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 363 396 432 484 528 594 648 726 792 891 968 1089 1188 1296 1452 1584 1782 1936 2178 2376 2904 3267 3564 4356 4752 5808 6534 7128 8712 9801 13068 14087 14256 17424 19602 26136 28174 39204 42261 52272 56348 78408 84522 112696 126783 154957 156816 169044 225392 253566 309914 338088 380349 464871 507132 619828 676176 760698 929742 1014264 1141047 1239656 1394613 1521396 1704527 1859484 2028528 2282094 2479312 2789226 3042792 3409054 3718968 4183839 4564188 5113581 5578452 6085584 6818108 7437936 8367678 9128376 10227162 11156904 12551517 13636216 15340743 16735356 18256752 20454324 22313808 25103034 27272432 30681486 33470712 40908648 46022229 50206068 61362972 66941424 81817296 92044458 100412136 122725944 138066687 184088916 200824272 245451888 276133374 368177832 552266748 736355664 1104533496 2209066992