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2152152 = 233271421
BaseRepresentation
bin1000001101011011011000
311001100012100
420031123120
51022332102
6114043400
724202332
oct10153330
94040170
102152152
11123aa42
12879560
135a4782
14400452
152c7a1c
hex20d6d8

2152152 has 48 divisors (see below), whose sum is σ = 5924880. Its totient is φ = 705600.

The previous prime is 2152127. The next prime is 2152153. The reversal of 2152152 is 2512512.

It is a super-2 number, since 2×21521522 = 9263516462208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4902 + ... + 5322.

It is an arithmetic number, because the mean of its divisors is an integer number (123435).

22152152 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 2152152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962440).

2152152 is an abundant number, since it is smaller than the sum of its proper divisors (3772728).

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

2152152 is a wasteful number, since it uses less digits than its factorization.

2152152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 2152152 is about 1467.0214722355. The cubic root of 2152152 is about 129.1093358246.

Adding to 2152152 its reverse (2512512), we get a palindrome (4664664).

It can be divided in two parts, 2152 and 152, that added together give a square (2304 = 482).

The spelling of 2152152 in words is "two million, one hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 421 426 568 639 842 852 1263 1278 1684 1704 2526 2556 3368 3789 5052 5112 7578 10104 15156 29891 30312 59782 89673 119564 179346 239128 269019 358692 538038 717384 1076076 2152152