Search a number
-
+
213523674 = 23731323347
BaseRepresentation
bin11001011101000…
…01110011011010
3112212210010102020
430232201303122
5414130224144
633104315310
75201631000
oct1456416332
9485703366
10213523674
11aa58a551
125b612b36
1335310990
1420502a70
1513b2b419
hexcba1cda

213523674 has 128 divisors (see below), whose sum is σ = 561254400. Its totient is φ = 53710272.

The previous prime is 213523669. The next prime is 213523711. The reversal of 213523674 is 476325312.

213523674 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 615169 + ... + 615515.

It is an arithmetic number, because the mean of its divisors is an integer number (4384800).

Almost surely, 2213523674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213523674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280627200).

213523674 is an abundant number, since it is smaller than the sum of its proper divisors (347730726).

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

213523674 is a wasteful number, since it uses less digits than its factorization.

213523674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 213523674 is about 14612.4492813491. The cubic root of 213523674 is about 597.6982870423.

Adding to 213523674 its reverse (476325312), we get a palindrome (689848986).

The spelling of 213523674 in words is "two hundred thirteen million, five hundred twenty-three thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 49 69 78 91 98 138 147 161 182 273 294 299 322 343 347 483 546 598 637 686 694 897 966 1029 1041 1127 1274 1794 1911 2058 2082 2093 2254 2429 3381 3822 4186 4459 4511 4858 6279 6762 7287 7889 7981 8918 9022 12558 13377 13533 14574 14651 15778 15962 17003 23667 23943 26754 27066 29302 31577 34006 43953 47334 47886 51009 55867 63154 87906 94731 102018 102557 103753 111734 119021 167601 189462 205114 207506 221039 238042 307671 311259 335202 357063 391069 442078 615342 622518 663117 714126 726271 782138 1173207 1326234 1452542 1547273 2178813 2346414 2737483 3094546 4357626 4641819 5083897 5474966 8212449 9283638 10167794 15251691 16424898 30503382 35587279 71174558 106761837 213523674