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2230040124 = 2232137960317
BaseRepresentation
bin1000010011101011…
…1011011000111100
312202102012202221200
42010322323120330
514031342240444
61005141255500
7106156012464
oct20472733074
95672182850
102230040124
11a44888174
12522a04590
1329701b990
1417225aba4
15d0ba2969
hex84ebb63c

2230040124 has 72 divisors (see below), whose sum is σ = 6147610560. Its totient is φ = 677469312.

The previous prime is 2230040119. The next prime is 2230040129. The reversal of 2230040124 is 4210400322.

It is an interprime number because it is at equal distance from previous prime (2230040119) and next prime (2230040129).

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

It is a junction number, because it is equal to n+sod(n) for n = 2230040097 and 2230040106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230040129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6814 + ... + 67130.

It is an arithmetic number, because the mean of its divisors is an integer number (85383480).

Almost surely, 22230040124 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 2230040124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073805280).

2230040124 is an abundant number, since it is smaller than the sum of its proper divisors (3917570436).

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

2230040124 is a wasteful number, since it uses less digits than its factorization.

2230040124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60419 (or 60414 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2230040124 is about 47223.3006470323. The cubic root of 2230040124 is about 1306.4843918602.

Adding to 2230040124 its reverse (4210400322), we get a palindrome (6440440446).

The spelling of 2230040124 in words is "two billion, two hundred thirty million, forty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 316 468 474 711 948 1027 1422 2054 2844 3081 4108 6162 9243 12324 18486 36972 60317 120634 180951 241268 361902 542853 723804 784121 1085706 1568242 2171412 2352363 3136484 4704726 4765043 7057089 9409452 9530086 14114178 14295129 19060172 28228356 28590258 42885387 57180516 61945559 85770774 123891118 171541548 185836677 247782236 371673354 557510031 743346708 1115020062 2230040124