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213348696 = 2331131131199
BaseRepresentation
bin11001011011101…
…11000101011000
3112212110020101120
430231313011120
5414104124241
633100445240
75200301601
oct1455670530
9485406346
10213348696
11aa480040
125b549820
133527c142
1420498da8
1513ae4666
hexcb77158

213348696 has 128 divisors (see below), whose sum is σ = 608256000. Its totient is φ = 61776000.

The previous prime is 213348689. The next prime is 213348721. The reversal of 213348696 is 696843312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072005 + ... + 1072203.

It is an arithmetic number, because the mean of its divisors is an integer number (4752000).

Almost surely, 2213348696 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 213348696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304128000).

213348696 is an abundant number, since it is smaller than the sum of its proper divisors (394907304).

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

213348696 is a wasteful number, since it uses less digits than its factorization.

213348696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

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

The square root of 213348696 is about 14606.4607622791. The cubic root of 213348696 is about 597.5349755149.

The spelling of 213348696 in words is "two hundred thirteen million, three hundred forty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 131 132 186 199 248 262 264 341 372 393 398 524 597 682 744 786 796 1023 1048 1194 1364 1441 1572 1592 2046 2189 2388 2728 2882 3144 4061 4092 4323 4378 4776 5764 6169 6567 8122 8184 8646 8756 11528 12183 12338 13134 16244 17292 17512 18507 24366 24676 26069 26268 32488 34584 37014 44671 48732 49352 52138 52536 67859 74028 78207 89342 97464 104276 134013 135718 148056 156414 178684 203577 208552 268026 271436 286759 312828 357368 407154 536052 542872 573518 625656 808139 814308 860277 1072104 1147036 1616278 1628616 1720554 2294072 2424417 3232556 3441108 4848834 6465112 6882216 8889529 9697668 17779058 19395336 26668587 35558116 53337174 71116232 106674348 213348696