Search a number
-
+
7022221000 = 235314947129
BaseRepresentation
bin1101000101000111…
…01001011011001000
3200010101112210021021
412202203221123020
5103340142033000
63120450322224
7336005615344
oct64243513310
920111483237
107022221000
112a83951633
12143b889374
1387bab6272
144a88a2624
152b175811a
hex1a28e96c8

7022221000 has 64 divisors (see below), whose sum is σ = 16542630000. Its totient is φ = 2789977600.

The previous prime is 7022220977. The next prime is 7022221013. The reversal of 7022221000 is 1222207.

It can be written as a sum of positive squares in 8 ways, for example, as 1173336516 + 5848884484 = 34254^2 + 76478^2 .

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, 125436 + ... + 172564.

Almost surely, 27022221000 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 7022221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271315000).

7022221000 is an abundant number, since it is smaller than the sum of its proper divisors (9520409000).

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

7022221000 is a wasteful number, since it uses less digits than its factorization.

7022221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47299 (or 47285 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 7022221000 is about 83798.6933072348. The cubic root of 7022221000 is about 1914.9531991644.

Adding to 7022221000 its reverse (1222207), we get a palindrome (7023443207).

The spelling of 7022221000 in words is "seven billion, twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 1000 1192 1490 2980 3725 5960 7450 14900 18625 29800 37250 47129 74500 94258 149000 188516 235645 377032 471290 942580 1178225 1885160 2356450 4712900 5891125 7022221 9425800 11782250 14044442 23564500 28088884 35111105 47129000 56177768 70222210 140444420 175555525 280888840 351111050 702222100 877777625 1404444200 1755555250 3511110500 7022221000