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2232682452 = 223272111353167
BaseRepresentation
bin1000010100010100…
…0000011111010100
312202121012000112200
42011011000133110
514033031314302
61005314044500
7106220326200
oct20505003724
95677160480
102232682452
11a46322410
12523879730
132977355a0
14172747b00
15d102581c
hex851407d4

2232682452 has 432 divisors, whose sum is σ = 7905485952. Its totient is φ = 522063360.

The previous prime is 2232682423. The next prime is 2232682477. The reversal of 2232682452 is 2542862322.

It is a super-3 number, since 3×22326824523 (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).

Its product of digits (92160) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13369273 + ... + 13369439.

It is an arithmetic number, because the mean of its divisors is an integer number (18299736).

Almost surely, 22232682452 is an apocalyptic number.

2232682452 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 2232682452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952742976).

2232682452 is an abundant number, since it is smaller than the sum of its proper divisors (5672803500).

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

2232682452 is a wasteful number, since it uses less digits than its factorization.

2232682452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2232682452 is about 47251.2693162840. The cubic root of 2232682452 is about 1307.0001968877. Note that the first 3 decimals are identical.

The spelling of 2232682452 in words is "two billion, two hundred thirty-two million, six hundred eighty-two thousand, four hundred fifty-two".