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2252412 = 2232193789
BaseRepresentation
bin1000100101111001111100
311020102201200
420211321330
51034034122
6120135500
725100541
oct10457174
94212650
102252412
1112a92a8
12907590
1360b2b6
14428bc8
152e75ac
hex225e7c

2252412 has 72 divisors (see below), whose sum is σ = 6224400. Its totient is φ = 684288.

The previous prime is 2252407. The next prime is 2252441. The reversal of 2252412 is 2142522.

2252412 is a `hidden beast` number, since 2 + 252 + 412 = 666.

2252412 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25264 + ... + 25352.

It is an arithmetic number, because the mean of its divisors is an integer number (86450).

22252412 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 2252412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112200).

2252412 is an abundant number, since it is smaller than the sum of its proper divisors (3971988).

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

2252412 is a wasteful number, since it uses less digits than its factorization.

2252412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 150 counting only the distinct ones).

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

The square root of 2252412 is about 1500.8037846434. The cubic root of 2252412 is about 131.0838769016.

Adding to 2252412 its reverse (2142522), we get a palindrome (4394934).

The spelling of 2252412 in words is "two million, two hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 89 111 114 148 171 178 222 228 267 333 342 356 444 534 666 684 703 801 1068 1332 1406 1602 1691 2109 2812 3204 3293 3382 4218 5073 6327 6586 6764 8436 9879 10146 12654 13172 15219 19758 20292 25308 29637 30438 39516 59274 60876 62567 118548 125134 187701 250268 375402 563103 750804 1126206 2252412