Search a number
-
+
7227203490 = 23251353116549
BaseRepresentation
bin1101011101100011…
…00101111110100010
3200122200020222101100
412232301211332202
5104300131002430
63153052015230
7344045134053
oct65661457642
920580228340
107227203490
113079627a51
121498461516
138b23c6390
144c7bc072a
152c4748960
hex1aec65fa2

7227203490 has 96 divisors (see below), whose sum is σ = 20618161200. Its totient is φ = 1745422848.

The previous prime is 7227203461. The next prime is 7227203509. The reversal of 7227203490 is 943027227.

It can be written as a sum of positive squares in 8 ways, for example, as 2264141889 + 4963061601 = 47583^2 + 70449^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3736 + ... + 120284.

Almost surely, 27227203490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7227203490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10309080600).

7227203490 is an abundant number, since it is smaller than the sum of its proper divisors (13390957710).

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

7227203490 is a wasteful number, since it uses less digits than its factorization.

7227203490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116628 (or 116625 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7227203490 is about 85012.9607177635. The cubic root of 7227203490 is about 1933.4076277104.

The spelling of 7227203490 in words is "seven billion, two hundred twenty-seven million, two hundred three thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 195 234 265 318 390 477 530 585 689 795 954 1170 1378 1590 2067 2385 3445 4134 4770 6201 6890 10335 12402 20670 31005 62010 116549 233098 349647 582745 699294 1048941 1165490 1515137 1748235 2097882 3030274 3496470 4545411 5244705 6177097 7575685 9090822 10489410 12354194 13636233 15151370 18531291 22727055 27272466 30885485 37062582 45454110 55593873 61770970 68181165 80302261 92656455 111187746 136362330 160604522 185312910 240906783 277969365 401511305 481813566 555938730 722720349 803022610 1204533915 1445440698 2409067830 3613601745 7227203490