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216765696 = 283761661
BaseRepresentation
bin11001110101110…
…01010100000000
3120002212211122010
430322321110000
5420443000241
633302012520
75241322650
oct1472712400
9502784563
10216765696
111013a4304
1260717140
1335ba7534
1420b08360
151406bd16
hexceb9500

216765696 has 144 divisors (see below), whose sum is σ = 671151488. Its totient is φ = 60825600.

The previous prime is 216765683. The next prime is 216765701. The reversal of 216765696 is 696567612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between even and odd.

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, 327606 + ... + 328266.

Almost surely, 2216765696 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 216765696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335575744).

216765696 is an abundant number, since it is smaller than the sum of its proper divisors (454385792).

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

216765696 is an equidigital number, since it uses as much as digits as its factorization.

216765696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 734 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 216765696 is about 14722.9649187927. The cubic root of 216765696 is about 600.7081416746.

It can be divided in two parts, 21676 and 5696, that added together give a palindrome (27372).

The spelling of 216765696 in words is "two hundred sixteen million, seven hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 661 672 732 768 854 896 976 1281 1322 1344 1464 1708 1792 1952 1983 2562 2644 2688 2928 3416 3904 3966 4627 5124 5288 5376 5856 6832 7808 7932 9254 10248 10576 11712 13664 13881 15616 15864 18508 20496 21152 23424 27328 27762 31728 37016 40321 40992 42304 46848 54656 55524 63456 74032 80642 81984 84608 109312 111048 120963 126912 148064 161284 163968 169216 222096 241926 253824 282247 296128 322568 327936 444192 483852 507648 564494 592256 645136 846741 888384 967704 1128988 1184512 1290272 1693482 1776768 1935408 2257976 2580544 3386964 3553536 3870816 4515952 5161088 6773928 7741632 9031904 10322176 13547856 15483264 18063808 27095712 30966528 36127616 54191424 72255232 108382848 216765696