Search a number
-
+
641213216 = 25721921523
BaseRepresentation
bin100110001110000…
…010001100100000
31122200120000011122
4212032002030200
52303122310331
6143343231412
721614136200
oct4616021440
91580500148
10641213216
112a9a47a86
1215a8a8568
13a2ac8707
1461234400
153b45e17b
hex26382320

641213216 has 72 divisors (see below), whose sum is σ = 1545853680. Its totient is φ = 260330112.

The previous prime is 641213203. The next prime is 641213231. The reversal of 641213216 is 612312146.

It is a super-2 number, since 2×6412132162 = 822308776746125312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19031 + ... + 40553.

It is an arithmetic number, because the mean of its divisors is an integer number (21470190).

Almost surely, 2641213216 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 641213216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772926840).

641213216 is an abundant number, since it is smaller than the sum of its proper divisors (904640464).

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

641213216 is a wasteful number, since it uses less digits than its factorization.

641213216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21566 (or 21551 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 641213216 is about 25322.1882150813. The cubic root of 641213216 is about 862.3180728379.

The spelling of 641213216 in words is "six hundred forty-one million, two hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 4256 7448 14896 21523 29792 43046 86092 150661 172184 301322 344368 408937 602644 688736 817874 1054627 1205288 1635748 2109254 2410576 2862559 3271496 4218508 4821152 5725118 6542992 8437016 11450236 13085984 16874032 20037913 22900472 33748064 40075826 45800944 80151652 91601888 160303304 320606608 641213216