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2247152 = 24292167
BaseRepresentation
bin1000100100100111110000
311020011111212
420210213300
51033402102
6120055252
725046315
oct10444760
94204455
102247152
1112a5356
12904528
13608a9b
14426d0c
152e5c52
hex2249f0

2247152 has 30 divisors (see below), whose sum is σ = 4536168. Its totient is φ = 1078336.

The previous prime is 2247143. The next prime is 2247163. The reversal of 2247152 is 2517422.

It is a happy number.

It is a super-2 number, since 2×22471522 = 10099384222208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13373 + ... + 13539.

22247152 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 2247152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268084).

2247152 is an abundant number, since it is smaller than the sum of its proper divisors (2289016).

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

2247152 is a wasteful number, since it uses less digits than its factorization.

2247152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 198 counting only the distinct ones).

The product of its digits is 1120, while the sum is 23.

The square root of 2247152 is about 1499.0503660651. The cubic root of 2247152 is about 130.9817584296.

It can be divided in two parts, 22 and 47152, that added together give a palindrome (47174).

The spelling of 2247152 in words is "two million, two hundred forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 58 116 167 232 334 464 668 841 1336 1682 2672 3364 4843 6728 9686 13456 19372 38744 77488 140447 280894 561788 1123576 2247152