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2230824924 = 2232234165713
BaseRepresentation
bin1000010011110111…
…1010111111011100
312202110200122111100
42010331322333130
514032042344144
61005210153100
7106165461516
oct20475727734
95673618440
102230824924
11a45273869
12523122790
13297234c63
141723c2bb6
15d0caa269
hex84f7afdc

2230824924 has 72 divisors (see below), whose sum is σ = 6027813792. Its totient is φ = 693918720.

The previous prime is 2230824919. The next prime is 2230824929. The reversal of 2230824924 is 4294280322.

It is an interprime number because it is at equal distance from previous prime (2230824919) and next prime (2230824929).

It is a super-3 number, since 3×22308249243 (a number of 29 digits) contains 333 as substring.

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 (2230824929) 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, 1092 + ... + 66804.

It is an arithmetic number, because the mean of its divisors is an integer number (83719636).

Almost surely, 22230824924 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 2230824924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013906896).

2230824924 is an abundant number, since it is smaller than the sum of its proper divisors (3796988868).

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

2230824924 is a wasteful number, since it uses less digits than its factorization.

2230824924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65787 (or 65782 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2230824924 is about 47231.6093733847. The cubic root of 2230824924 is about 1306.6376340500.

The spelling of 2230824924 in words is "two billion, two hundred thirty million, eight hundred twenty-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 738 828 943 1476 1886 2829 3772 5658 8487 11316 16974 33948 65713 131426 197139 262852 394278 591417 788556 1182834 1511399 2365668 2694233 3022798 4534197 5388466 6045596 8082699 9068394 10776932 13602591 16165398 18136788 24248097 27205182 32330796 48496194 54410364 61967359 96992388 123934718 185902077 247869436 371804154 557706231 743608308 1115412462 2230824924