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232144380 = 223451373151
BaseRepresentation
bin11011101011000…
…11110111111100
3121011211011020000
431311203313330
5433412110010
635011354300
75516123526
oct1565436774
9534734200
10232144380
1110a048566
12658b2990
1339130350
1422b8ca16
15155a87c0
hexdd63dfc

232144380 has 240 divisors, whose sum is σ = 800272704. Its totient is φ = 55987200.

The previous prime is 232144379. The next prime is 232144397. The reversal of 232144380 is 83441232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1537305 + ... + 1537455.

Almost surely, 2232144380 is an apocalyptic number.

232144380 is a gapful number since it is divisible by the number (20) 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 232144380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400136352).

232144380 is an abundant number, since it is smaller than the sum of its proper divisors (568128324).

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

232144380 is a wasteful number, since it uses less digits than its factorization.

232144380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 232144380 is about 15236.2849802700. The cubic root of 232144380 is about 614.5908045388.

The spelling of 232144380 in words is "two hundred thirty-two million, one hundred forty-four thousand, three hundred eighty".