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2152224 = 25334753
BaseRepresentation
bin1000001101011100100000
311001100022000
420031130200
51022332344
6114044000
724202464
oct10153440
94040260
102152224
11123aaa8
12879600
135a4809
144004a4
152c7a69
hex20d720

2152224 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 688896.

The previous prime is 2152219. The next prime is 2152229. The reversal of 2152224 is 4222512.

It is an interprime number because it is at equal distance from previous prime (2152219) and next prime (2152229).

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 (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 2152197 and 2152206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40582 + ... + 40634.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22152224 is an apocalyptic number.

2152224 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 2152224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2152224 is an abundant number, since it is smaller than the sum of its proper divisors (4379616).

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

2152224 is a wasteful number, since it uses less digits than its factorization.

2152224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 2152224 is about 1467.0460115484. The cubic root of 2152224 is about 129.1107755879.

Adding to 2152224 its reverse (4222512), we get a palindrome (6374736).

The spelling of 2152224 in words is "two million, one hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 53 54 72 94 96 106 108 141 144 159 188 212 216 282 288 318 376 423 424 432 477 564 636 752 846 848 864 954 1128 1269 1272 1431 1504 1692 1696 1908 2256 2491 2538 2544 2862 3384 3816 4512 4982 5076 5088 5724 6768 7473 7632 9964 10152 11448 13536 14946 15264 19928 20304 22419 22896 29892 39856 40608 44838 45792 59784 67257 79712 89676 119568 134514 179352 239136 269028 358704 538056 717408 1076112 2152224