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2242676124 = 2232137876089
BaseRepresentation
bin1000010110101100…
…1000010110011100
312210021222202021200
42011223020112130
514043111113444
61010312155500
7106401301233
oct20553102634
95707882250
102242676124
11a50a28847
12527098b90
132998242c0
14173bc9b1a
15d1d4b969
hex85ac859c

2242676124 has 72 divisors (see below), whose sum is σ = 6113824080. Its totient is φ = 689064192.

The previous prime is 2242676123. The next prime is 2242676141. The reversal of 2242676124 is 4216762422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242676123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365272 + ... + 371360.

Almost surely, 22242676124 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 2242676124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056912040).

2242676124 is an abundant number, since it is smaller than the sum of its proper divisors (3871147956).

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

2242676124 is a wasteful number, since it uses less digits than its factorization.

2242676124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6899 (or 6894 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 2242676124 is about 47356.9015456037. The cubic root of 2242676124 is about 1308.9473749879.

The spelling of 2242676124 in words is "two billion, two hundred forty-two million, six hundred seventy-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 787 1574 2361 3148 4722 6089 7083 9444 10231 12178 14166 18267 20462 24356 28332 30693 36534 40924 54801 61386 73068 79157 92079 109602 122772 158314 184158 219204 237471 316628 368316 474942 712413 949884 1424826 2849652 4792043 9584086 14376129 19168172 28752258 43128387 57504516 62296559 86256774 124593118 172513548 186889677 249186236 373779354 560669031 747558708 1121338062 2242676124