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216134430 = 23517297257
BaseRepresentation
bin11001110000111…
…11001100011110
3120001200202200220
430320133030132
5420312300210
633240302210
75233053351
oct1470371436
9501622626
10216134430
11101002aa6
1260471966
1335a160c5
14209c2298
1513e94c70
hexce1f31e

216134430 has 96 divisors (see below), whose sum is σ = 558877536. Its totient is φ = 53477376.

The previous prime is 216134417. The next prime is 216134459. The reversal of 216134430 is 34431612.

It is a self number, because there is not a number n which added to its sum of digits gives 216134430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840862 + ... + 841118.

It is an arithmetic number, because the mean of its divisors is an integer number (5821641).

Almost surely, 2216134430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216134430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279438768).

216134430 is an abundant number, since it is smaller than the sum of its proper divisors (342743106).

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

216134430 is a wasteful number, since it uses less digits than its factorization.

216134430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 216134430 is about 14701.5111468175. The cubic root of 216134430 is about 600.1244464089.

The spelling of 216134430 in words is "two hundred sixteen million, one hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 97 102 170 194 255 257 289 291 485 510 514 578 582 771 867 970 1285 1445 1455 1542 1649 1734 2570 2890 2910 3298 3855 4335 4369 4947 7710 8245 8670 8738 9894 13107 16490 21845 24735 24929 26214 28033 43690 49470 49858 56066 65535 74273 74787 84099 124645 131070 140165 148546 149574 168198 222819 249290 280330 371365 373935 420495 423793 445638 742730 747870 840990 847586 1114095 1271379 2118965 2228190 2542758 4237930 6356895 7204481 12713790 14408962 21613443 36022405 43226886 72044810 108067215 216134430