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213114744 = 233219115497
BaseRepresentation
bin11001011001111…
…01111101111000
3112212000100110200
430230331331320
5414024132434
633051442200
75165305533
oct1454757570
9485010420
10213114744
11aa330297
125b456360
13351c97cb
1420437a1a
1513a9a199
hexcb3df78

213114744 has 48 divisors (see below), whose sum is σ = 580245120. Its totient is φ = 70661760.

The previous prime is 213114743. The next prime is 213114791. The reversal of 213114744 is 447411312.

It is a super-2 number, since 2×2131147442 = 90835788220371072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213114743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6004 + ... + 21500.

It is an arithmetic number, because the mean of its divisors is an integer number (12088440).

Almost surely, 2213114744 is an apocalyptic number.

213114744 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 213114744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290122560).

213114744 is an abundant number, since it is smaller than the sum of its proper divisors (367130376).

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

213114744 is a wasteful number, since it uses less digits than its factorization.

213114744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15700 (or 15693 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 213114744 is about 14598.4500547147. The cubic root of 213114744 is about 597.3164824492.

The spelling of 213114744 in words is "two hundred thirteen million, one hundred fourteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1528 1719 2292 3438 4584 6876 13752 15497 30994 46491 61988 92982 123976 139473 185964 278946 371928 557892 1115784 2959927 5919854 8879781 11839708 17759562 23679416 26639343 35519124 53278686 71038248 106557372 213114744