Search a number
-
+
83022381 = 33131959211
BaseRepresentation
bin1001111001011…
…01001000101101
312210012222022000
410330231020231
5132223204011
612123242513
72025451521
oct474551055
9183188260
1083022381
1142955a42
1223979439
131427ac90
14b051d81
15744e356
hex4f2d22d

83022381 has 64 divisors (see below), whose sum is σ = 142464000. Its totient is φ = 47355840.

The previous prime is 83022377. The next prime is 83022391. The reversal of 83022381 is 18322038.

It is not a de Polignac number, because 83022381 - 22 = 83022377 is a prime.

It is a super-2 number, since 2×830223812 = 13785431493818322, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83022391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393366 + ... + 393576.

It is an arithmetic number, because the mean of its divisors is an integer number (2226000).

Almost surely, 283022381 is an apocalyptic number.

It is an amenable number.

83022381 is a deficient number, since it is larger than the sum of its proper divisors (59441619).

83022381 is a wasteful number, since it uses less digits than its factorization.

83022381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83022381 is about 9111.6618133028. The cubic root of 83022381 is about 436.2462714547.

The spelling of 83022381 in words is "eighty-three million, twenty-two thousand, three hundred eighty-one".

Divisors: 1 3 9 13 19 27 39 57 59 117 171 177 211 247 351 513 531 633 741 767 1121 1593 1899 2223 2301 2743 3363 4009 5697 6669 6903 8229 10089 12027 12449 14573 20709 24687 30267 36081 37347 43719 52117 74061 108243 112041 131157 156351 161837 236531 336123 393471 469053 485511 709593 1407159 1456533 2128779 3074903 4369599 6386337 9224709 27674127 83022381