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213339942 = 232194389163
BaseRepresentation
bin11001011011101…
…00111100100110
3112212102210101100
430231310330212
5414103334232
633100340530
75200234224
oct1455647446
9485383340
10213339942
11aa474502
125b544746
133527816a
1420495b14
1513ae1c7c
hexcb74f26

213339942 has 96 divisors (see below), whose sum is σ = 506563200. Its totient is φ = 64665216.

The previous prime is 213339941. The next prime is 213339943. The reversal of 213339942 is 249933312.

It is an interprime number because it is at equal distance from previous prime (213339941) and next prime (213339943).

It is a junction number, because it is equal to n+sod(n) for n = 213339897 and 213339906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213339941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1308753 + ... + 1308915.

It is an arithmetic number, because the mean of its divisors is an integer number (5276700).

Almost surely, 2213339942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213339942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253281600).

213339942 is an abundant number, since it is smaller than the sum of its proper divisors (293223258).

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

213339942 is a wasteful number, since it uses less digits than its factorization.

213339942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 319 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 213339942 is about 14606.1610972904. The cubic root of 213339942 is about 597.5268028335.

The spelling of 213339942 in words is "two hundred thirteen million, three hundred thirty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 89 114 129 163 171 178 258 267 326 342 387 489 534 774 801 817 978 1467 1602 1634 1691 2451 2934 3097 3382 3827 4902 5073 6194 7009 7353 7654 9291 10146 11481 14018 14507 14706 15219 18582 21027 22962 27873 29014 30438 34443 42054 43521 55746 63081 68886 72713 87042 126162 130563 133171 145426 218139 261126 266342 275633 399513 436278 551266 623801 654417 799026 826899 1198539 1247602 1308834 1653798 1871403 2397078 2480697 3742806 4961394 5614209 11228418 11852219 23704438 35556657 71113314 106669971 213339942