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22354146 = 23219163401
BaseRepresentation
bin101010101000…
…1100011100010
31120001201010100
41111101203202
521210313041
62115043230
7361002303
oct125214342
946051110
1022354146
1111689001
1275a0516
134828b09
142d7c7aa
151e686b6
hex15518e2

22354146 has 48 divisors (see below), whose sum is σ = 51423840. Its totient is φ = 6998400.

The previous prime is 22354063. The next prime is 22354151. The reversal of 22354146 is 64145322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55546 + ... + 55946.

It is an arithmetic number, because the mean of its divisors is an integer number (1071330).

Almost surely, 222354146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22354146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25711920).

22354146 is an abundant number, since it is smaller than the sum of its proper divisors (29069694).

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

22354146 is a wasteful number, since it uses less digits than its factorization.

22354146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 588 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 22354146 is about 4728.0171319487. The cubic root of 22354146 is about 281.6994685762.

Adding to 22354146 its reverse (64145322), we get a palindrome (86499468).

It can be divided in two parts, 22354 and 146, that added together give a square (22500 = 1502).

The spelling of 22354146 in words is "twenty-two million, three hundred fifty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 163 171 326 342 401 489 802 978 1203 1467 2406 2934 3097 3609 6194 7218 7619 9291 15238 18582 22857 27873 45714 55746 65363 68571 130726 137142 196089 392178 588267 1176534 1241897 2483794 3725691 7451382 11177073 22354146