Search a number
-
+
22391964 = 223671097
BaseRepresentation
bin101010101101…
…0110010011100
31120010122000000
41111122302130
521213020324
62115534300
7361220460
oct125326234
946118000
1022391964
1111704461
1275ba390
1348400aa
142d8c4a0
151e749c9
hex155ac9c

22391964 has 84 divisors (see below), whose sum is σ = 67206384. Its totient is φ = 6391872.

The previous prime is 22391959. The next prime is 22391969. The reversal of 22391964 is 46919322.

It is an interprime number because it is at equal distance from previous prime (22391959) and next prime (22391969).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22391969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19864 + ... + 20960.

It is an arithmetic number, because the mean of its divisors is an integer number (800076).

Almost surely, 222391964 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 22391964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33603192).

22391964 is an abundant number, since it is smaller than the sum of its proper divisors (44814420).

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

22391964 is a wasteful number, since it uses less digits than its factorization.

22391964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1109 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 22391964 is about 4732.0147928763. The cubic root of 22391964 is about 281.8582356718.

The spelling of 22391964 in words is "twenty-two million, three hundred ninety-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1097 1134 1458 1701 2194 2268 2916 3291 3402 4388 5103 6582 6804 7679 9873 10206 13164 15358 19746 20412 23037 29619 30716 39492 46074 59238 69111 88857 92148 118476 138222 177714 207333 266571 276444 355428 414666 533142 621999 799713 829332 1066284 1243998 1599426 1865997 2487996 3198852 3731994 5597991 7463988 11195982 22391964