Search a number
-
+
2151224152 = 237112734349
BaseRepresentation
bin1000000000111001…
…0001001101011000
312112220220111202121
42000032101031120
513401203133102
6553244111024
7104211050350
oct20016211530
95486814677
102151224152
11a04345600
12500535474
132838b44cc
141659c1b60
15c8cd4b37
hex80391358

2151224152 has 96 divisors (see below), whose sum is σ = 5137524000. Its totient is φ = 826467840.

The previous prime is 2151224143. The next prime is 2151224177. The reversal of 2151224152 is 2514221512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492474 + ... + 496822.

It is an arithmetic number, because the mean of its divisors is an integer number (53515875).

Almost surely, 22151224152 is an apocalyptic number.

2151224152 is a gapful number since it is divisible by the number (22) 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 2151224152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568762000).

2151224152 is an abundant number, since it is smaller than the sum of its proper divisors (2986299848).

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

2151224152 is a wasteful number, since it uses less digits than its factorization.

2151224152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4442 counting only the distinct ones).

The product of its digits is 1600, while the sum is 25.

The square root of 2151224152 is about 46381.2909695278. The cubic root of 2151224152 is about 1290.9077904070.

Adding to 2151224152 its reverse (2514221512), we get a palindrome (4665445664).

The spelling of 2151224152 in words is "two billion, one hundred fifty-one million, two hundred twenty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 73 77 88 121 146 154 242 292 308 484 511 584 616 803 847 968 1022 1606 1694 2044 3212 3388 4088 4349 5621 6424 6776 8698 8833 11242 17396 17666 22484 30443 34792 35332 44968 47839 60886 61831 70664 95678 121772 123662 191356 243544 247324 317477 334873 382712 494648 526229 634954 669746 1052458 1269908 1339492 2104916 2222339 2539816 2678984 3492247 3683603 4209832 4444678 6984494 7367206 8889356 13968988 14734412 17778712 24445729 27937976 29468824 38414717 48891458 76829434 97782916 153658868 195565832 268903019 307317736 537806038 1075612076 2151224152