Search a number
-
+
217890036 = 2232713227293
BaseRepresentation
bin11001111110010…
…11110011110100
3120011222221221100
430333023303310
5421234440121
633342050100
75254014630
oct1477136364
9504887840
10217890036
11101aa2011
1260b79930
13361ac220
1420d1bdc0
15141e0026
hexcfcbcf4

217890036 has 144 divisors (see below), whose sum is σ = 683190144. Its totient is φ = 57017088.

The previous prime is 217890007. The next prime is 217890083. The reversal of 217890036 is 630098712.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 743506 + ... + 743798.

It is an arithmetic number, because the mean of its divisors is an integer number (4744376).

Almost surely, 2217890036 is an apocalyptic number.

217890036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217890036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341595072).

217890036 is an abundant number, since it is smaller than the sum of its proper divisors (465300108).

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

217890036 is a wasteful number, since it uses less digits than its factorization.

217890036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 217890036 is about 14761.0987395925. The cubic root of 217890036 is about 601.7449536417.

The spelling of 217890036 in words is "two hundred seventeen million, eight hundred ninety thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 227 234 252 273 293 364 454 468 546 586 681 819 879 908 1092 1172 1362 1589 1638 1758 2043 2051 2637 2724 2951 3178 3276 3516 3809 4086 4102 4767 5274 5902 6153 6356 7618 8172 8204 8853 9534 10548 11427 11804 12306 14301 15236 17706 18459 19068 20657 22854 24612 26559 26663 28602 34281 35412 36918 41314 45708 53118 53326 57204 61971 66511 68562 73836 79989 82628 106236 106652 123942 133022 137124 159978 185913 199533 239967 247884 266044 319956 371826 399066 465577 479934 598599 743652 798132 864643 931154 959868 1197198 1396731 1729286 1862308 2394396 2593929 2793462 3458572 4190193 5187858 5586924 6052501 7781787 8380386 10375716 12105002 15563574 16760772 18157503 24210004 31127148 36315006 54472509 72630012 108945018 217890036