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2229024 = 253731107
BaseRepresentation
bin1000100000001100100000
311012020122110
420200030200
51032312044
6115435320
724642420
oct10401440
94166573
102229024
111292776
128b5b40
13600765
14420480
152e06b9
hex220320

2229024 has 96 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 610560.

The previous prime is 2228987. The next prime is 2229037. The reversal of 2229024 is 4209222.

2229024 = 2532 + 2542 + ... + 2832.

2229024 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20779 + ... + 20885.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

22229024 is an apocalyptic number.

2229024 is a gapful number since it is divisible by the number (24) 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 2229024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2229024 is an abundant number, since it is smaller than the sum of its proper divisors (4738272).

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

2229024 is a wasteful number, since it uses less digits than its factorization.

2229024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2229024 is about 1492.9916275720. The cubic root of 2229024 is about 130.6285927295.

The spelling of 2229024 in words is "two million, two hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 107 112 124 168 186 214 217 224 248 321 336 372 428 434 496 642 651 672 744 749 856 868 992 1284 1302 1488 1498 1712 1736 2247 2568 2604 2976 2996 3317 3424 3472 4494 5136 5208 5992 6634 6944 8988 9951 10272 10416 11984 13268 17976 19902 20832 23219 23968 26536 35952 39804 46438 53072 69657 71904 79608 92876 106144 139314 159216 185752 278628 318432 371504 557256 743008 1114512 2229024