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213399288 = 233231671427
BaseRepresentation
bin11001011100000…
…11011011111000
3112212112210210100
430232003123320
5414112234123
633101515400
75200602234
oct1456033370
9485483710
10213399288
11aa505053
125b572b60
133529918b
14204ad5c4
1513b04643
hexcb836f8

213399288 has 96 divisors (see below), whose sum is σ = 605928960. Its totient is φ = 67763520.

The previous prime is 213399269. The next prime is 213399299. The reversal of 213399288 is 882993312.

It is a super-2 number, since 2×2133992882 = 91078512237813888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148831 + ... + 150257.

It is an arithmetic number, because the mean of its divisors is an integer number (6311760).

Almost surely, 2213399288 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 213399288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302964480).

213399288 is an abundant number, since it is smaller than the sum of its proper divisors (392529672).

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

213399288 is a wasteful number, since it uses less digits than its factorization.

213399288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1530 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 213399288 is about 14608.1924959935. The cubic root of 213399288 is about 597.5822035205.

The spelling of 213399288 in words is "two hundred thirteen million, three hundred ninety-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 67 72 93 124 134 186 201 248 268 279 372 402 536 558 603 744 804 1116 1206 1427 1608 2077 2232 2412 2854 4154 4281 4824 5708 6231 8308 8562 11416 12462 12843 16616 17124 18693 24924 25686 34248 37386 44237 49848 51372 74772 88474 95609 102744 132711 149544 176948 191218 265422 286827 353896 382436 398133 530844 573654 764872 796266 860481 1061688 1147308 1592532 1720962 2294616 2963879 3185064 3441924 5927758 6883848 8891637 11855516 17783274 23711032 26674911 35566548 53349822 71133096 106699644 213399288