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2134411224 = 2331123351517
BaseRepresentation
bin111111100111000…
…1000011111011000
312111202021022202120
41333032020133120
513332402124344
6551443501240
7103615124151
oct17716103730
95452238676
102134411224
119a5901820
124b6987820
1328027892a
14163686928
15c75b3219
hex7f3887d8

2134411224 has 64 divisors (see below), whose sum is σ = 6074231040. Its totient is φ = 618668160.

The previous prime is 2134411219. The next prime is 2134411229. The reversal of 2134411224 is 4221144312.

It is an interprime number because it is at equal distance from previous prime (2134411219) and next prime (2134411229).

It is a super-2 number, since 2×21344112242 = 9111422546274356352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2134411194 and 2134411203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134411229) 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, 169687 + ... + 181830.

It is an arithmetic number, because the mean of its divisors is an integer number (94909860).

Almost surely, 22134411224 is an apocalyptic number.

2134411224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2134411224 is an abundant number, since it is smaller than the sum of its proper divisors (3939819816).

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

2134411224 is a wasteful number, since it uses less digits than its factorization.

2134411224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351560 (or 351556 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2134411224 is about 46199.6885703789. The cubic root of 2134411224 is about 1287.5359538016.

Adding to 2134411224 its reverse (4221144312), we get a palindrome (6355555536).

The spelling of 2134411224 in words is "two billion, one hundred thirty-four million, four hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 351517 703034 1054551 1406068 2109102 2812136 3866687 4218204 7733374 8084891 8436408 11600061 15466748 16169782 23200122 24254673 30933496 32339564 46400244 48509346 64679128 88933801 92800488 97018692 177867602 194037384 266801403 355735204 533602806 711470408 1067205612 2134411224