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1214225460 = 2232577431297
BaseRepresentation
bin100100001011111…
…1001110000110100
310010121210001012100
41020113321300310
54441320203320
6320253022100
742042513630
oct11027716064
93117701170
101214225460
11573442618
1229a784930
13164735406
14b7393dc0
15718ea790
hex485f9c34

1214225460 has 144 divisors (see below), whose sum is σ = 4218230016. Its totient is φ = 276950016.

The previous prime is 1214225431. The next prime is 1214225461. The reversal of 1214225460 is 645224121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214225461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935532 + ... + 936828.

It is an arithmetic number, because the mean of its divisors is an integer number (29293264).

Almost surely, 21214225460 is an apocalyptic number.

1214225460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214225460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109115008).

1214225460 is an abundant number, since it is smaller than the sum of its proper divisors (3004004556).

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

1214225460 is a wasteful number, since it uses less digits than its factorization.

1214225460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1214225460 is about 34845.7380464240. The cubic root of 1214225460 is about 1066.8411977866.

Adding to 1214225460 its reverse (645224121), we get a palindrome (1859449581).

The spelling of 1214225460 in words is "one billion, two hundred fourteen million, two hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 743 1260 1297 1486 2229 2594 2972 3715 3891 4458 5188 5201 6485 6687 7430 7782 8916 9079 10402 11145 11673 12970 13374 14860 15564 15603 18158 19455 20804 22290 23346 25940 26005 26748 27237 31206 33435 36316 38910 44580 45395 46692 46809 52010 54474 58365 62412 66870 77820 78015 81711 90790 93618 104020 108948 116730 133740 136185 156030 163422 181580 187236 233460 234045 272370 312060 326844 408555 468090 544740 817110 936180 963671 1634220 1927342 2891013 3854684 4818355 5782026 6745697 8673039 9636710 11564052 13491394 14455065 17346078 19273420 20237091 26982788 28910130 33728485 34692156 40474182 43365195 57820260 60711273 67456970 80948364 86730390 101185455 121422546 134913940 173460780 202370910 242845092 303556365 404741820 607112730 1214225460