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213469944 = 23341401541
BaseRepresentation
bin11001011100101…
…00101011111000
3112212200101201020
430232110223320
5414122014234
633103222440
75201315232
oct1456245370
9485611636
10213469944
11aa553146
125b5a7a20
13352c239c
14204cb252
1513b1a549
hexcb94af8

213469944 has 64 divisors (see below), whose sum is σ = 549067680. Its totient is φ = 69120000.

The previous prime is 213469943. The next prime is 213469951. The reversal of 213469944 is 449964312.

213469944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213469896 and 213469905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213469943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394314 + ... + 394854.

Almost surely, 2213469944 is an apocalyptic number.

213469944 is a gapful number since it is divisible by the number (24) 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 213469944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274533840).

213469944 is an abundant number, since it is smaller than the sum of its proper divisors (335597736).

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

213469944 is a wasteful number, since it uses less digits than its factorization.

213469944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 988 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 213469944 is about 14610.6106648559. The cubic root of 213469944 is about 597.6481489281.

The spelling of 213469944 in words is "two hundred thirteen million, four hundred sixty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 401 492 541 802 984 1082 1203 1604 1623 2164 2406 3208 3246 4328 4812 6492 9624 12984 16441 22181 32882 44362 49323 65764 66543 88724 98646 131528 133086 177448 197292 216941 266172 394584 433882 532344 650823 867764 1301646 1735528 2603292 5206584 8894581 17789162 26683743 35578324 53367486 71156648 106734972 213469944