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38223306 = 23311229281
BaseRepresentation
bin1001000111001…
…1110111001010
32122220221112000
42101303313022
534241121211
63443131430
7642615132
oct221636712
978827460
1038223306
111a637810
1210973b76
137bc3c54
14510dac2
153550656
hex2473dca

38223306 has 64 divisors (see below), whose sum is σ = 93398400. Its totient is φ = 11491200.

The previous prime is 38223277. The next prime is 38223329. The reversal of 38223306 is 60332283.

It is a super-2 number, since 2×382233062 = 2922042243139272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38223306.

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, 135886 + ... + 136166.

It is an arithmetic number, because the mean of its divisors is an integer number (1459350).

Almost surely, 238223306 is an apocalyptic number.

It is a pronic number, being equal to 6182×6183.

It is a practical number, because each smaller number is the sum of distinct divisors of 38223306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46699200).

38223306 is an abundant number, since it is smaller than the sum of its proper divisors (55175094).

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

38223306 is a wasteful number, since it uses less digits than its factorization.

38223306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 38223306 is about 6182.4999797816. The cubic root of 38223306 is about 336.8548068872.

Adding to 38223306 its reverse (60332283), we get a palindrome (98555589).

The spelling of 38223306 in words is "thirty-eight million, two hundred twenty-three thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 229 281 297 458 562 594 687 843 1374 1686 2061 2519 2529 3091 4122 5038 5058 6182 6183 7557 7587 9273 12366 15114 15174 18546 22671 27819 45342 55638 64349 68013 83457 128698 136026 166914 193047 386094 579141 707839 1158282 1415678 1737423 2123517 3474846 4247034 6370551 12741102 19111653 38223306