Search a number
-
+
1027223210 = 25132953297
BaseRepresentation
bin111101001110100…
…010111010101010
32122120220100100002
4331032202322222
54100432120320
6245532543002
734312152566
oct7516427252
92576810302
101027223210
11487928002
12248021a62
13134a7c2b0
149a5d66a6
15602ac675
hex3d3a2eaa

1027223210 has 96 divisors (see below), whose sum is σ = 2121139440. Its totient is φ = 355590144.

The previous prime is 1027223203. The next prime is 1027223213. The reversal of 1027223210 is 123227201.

It can be written as a sum of positive squares in 24 ways, for example, as 2647129 + 1024576081 = 1627^2 + 32009^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027223213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10589882 + ... + 10589978.

Almost surely, 21027223210 is an apocalyptic number.

1027223210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1027223210 is an abundant number, since it is smaller than the sum of its proper divisors (1093916230).

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

1027223210 is a wasteful number, since it uses less digits than its factorization.

1027223210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 1027223210 is about 32050.3230872951. The cubic root of 1027223210 is about 1008.9932817603.

The spelling of 1027223210 in words is "one billion, twenty-seven million, two hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 5 10 13 26 29 53 58 65 97 106 130 145 194 265 290 377 485 530 689 754 970 1261 1378 1537 1885 2522 2809 2813 3074 3445 3770 5141 5618 5626 6305 6890 7685 10282 12610 14045 14065 15370 19981 25705 28090 28130 36517 36569 39962 51410 66833 73034 73138 81461 99905 133666 149089 162922 182585 182845 199810 272473 298178 334165 365170 365690 407305 544946 668330 745445 814610 1058993 1362365 1490890 1938157 2117986 2724730 3542149 3876314 5294965 7084298 7901717 9690785 10589930 15803434 17710745 19381570 35421490 39508585 79017170 102722321 205444642 513611605 1027223210