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1225055412 = 2232710745433
BaseRepresentation
bin100100100000100…
…1101110010110100
310011101011021002200
41021001031302310
510002103233122
6321321104500
742233541060
oct11101156264
93141137080
101225055412
1157956a299
122a2328130
13166a57979
14b89b2aa0
15728395ac
hex4904dcb4

1225055412 has 72 divisors (see below), whose sum is σ = 3572202816. Its totient is φ = 346737024.

The previous prime is 1225055399. The next prime is 1225055467. The reversal of 1225055412 is 2145505221.

It is a congruent number.

It is an unprimeable number.

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, 4248 + ... + 49680.

It is an arithmetic number, because the mean of its divisors is an integer number (49613928).

Almost surely, 21225055412 is an apocalyptic number.

1225055412 is a gapful number since it is divisible by the number (12) 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 1225055412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786101408).

1225055412 is an abundant number, since it is smaller than the sum of its proper divisors (2347147404).

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

1225055412 is a wasteful number, since it uses less digits than its factorization.

1225055412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45557 (or 45552 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1225055412 is about 35000.7915910483. The cubic root of 1225055412 is about 1070.0036136950.

The spelling of 1225055412 in words is "one billion, two hundred twenty-five million, fifty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2996 3852 4494 6741 8988 13482 26964 45433 90866 136299 181732 272598 318031 408897 545196 636062 817794 954093 1272124 1635588 1908186 2862279 3816372 4861331 5724558 9722662 11449116 14583993 19445324 29167986 34029317 43751979 58335972 68058634 87503958 102087951 136117268 175007916 204175902 306263853 408351804 612527706 1225055412