Search a number
-
+
642220700 = 2252112112767
BaseRepresentation
bin100110010001111…
…000001010011100
31122202110012011212
4212101320022130
52303402030300
6143421003552
721625533362
oct4621701234
91582405155
10642220700
112aa575a10
1215b0b35b8
13a308c164
1461417632
153b5ac935
hex2647829c

642220700 has 72 divisors (see below), whose sum is σ = 1528068864. Its totient is φ = 232344000.

The previous prime is 642220637. The next prime is 642220703. The reversal of 642220700 is 7022246.

642220700 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642220703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230717 + ... + 233483.

Almost surely, 2642220700 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 642220700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764034432).

642220700 is an abundant number, since it is smaller than the sum of its proper divisors (885848164).

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

642220700 is a wasteful number, since it uses less digits than its factorization.

642220700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 642220700 is about 25342.0737115178. The cubic root of 642220700 is about 862.7694656182.

Adding to 642220700 its reverse (7022246), we get a palindrome (649242946).

The spelling of 642220700 in words is "six hundred forty-two million, two hundred twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 211 220 275 422 550 844 1055 1100 2110 2321 2767 4220 4642 5275 5534 9284 10550 11068 11605 13835 21100 23210 27670 30437 46420 55340 58025 60874 69175 116050 121748 138350 152185 232100 276700 304370 583837 608740 760925 1167674 1521850 2335348 2919185 3043700 5838370 6422207 11676740 12844414 14595925 25688828 29191850 32111035 58383700 64222070 128444140 160555175 321110350 642220700