Search a number
-
+
213836088 = 23347293647
BaseRepresentation
bin11001011111011…
…10000100111000
3112220100222222010
430233232010320
5414220223323
633115125520
75204401554
oct1457560470
9486328863
10213836088
11aa783244
125b7438a0
13353bcc3b
1420584864
1513b8dc93
hexcbee138

213836088 has 64 divisors (see below), whose sum is σ = 548674560. Its totient is φ = 69416576.

The previous prime is 213836059. The next prime is 213836101. The reversal of 213836088 is 880638312.

It is a super-3 number, since 3×2138360883 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330181 + ... + 330827.

It is an arithmetic number, because the mean of its divisors is an integer number (8573040).

Almost surely, 2213836088 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 213836088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

213836088 is an abundant number, since it is smaller than the sum of its proper divisors (334838472).

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

213836088 is a wasteful number, since it uses less digits than its factorization.

213836088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 213836088 is about 14623.1353683128. The cubic root of 213836088 is about 597.9896494519.

It can be divided in two parts, 2138 and 36088, that added together give a triangular number (38226 = T276).

The spelling of 213836088 in words is "two hundred thirteen million, eight hundred thirty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 293 376 564 586 647 879 1128 1172 1294 1758 1941 2344 2588 3516 3882 5176 7032 7764 13771 15528 27542 30409 41313 55084 60818 82626 91227 110168 121636 165252 182454 189571 243272 330504 364908 379142 568713 729816 758284 1137426 1516568 2274852 4549704 8909837 17819674 26729511 35639348 53459022 71278696 106918044 213836088