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1222822125 = 32537315009
BaseRepresentation
bin100100011100010…
…1100100011101101
310011012221210121100
41020320230203231
510001020302000
6321201153313
742205550040
oct11070544355
93135853540
101222822125
115782843a8
122a162b839
131664552b5
14b8590c57
1572547a00
hex48e2c8ed

1222822125 has 96 divisors (see below), whose sum is σ = 2601031680. Its totient is φ = 540864000.

The previous prime is 1222822123. The next prime is 1222822147. The reversal of 1222822125 is 5212282221.

It is not a de Polignac number, because 1222822125 - 21 = 1222822123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222822123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241621 + ... + 246629.

It is an arithmetic number, because the mean of its divisors is an integer number (27094080).

Almost surely, 21222822125 is an apocalyptic number.

1222822125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1222822125 is an abundant number, since it is smaller than the sum of its proper divisors (1378209555).

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

1222822125 is a wasteful number, since it uses less digits than its factorization.

1222822125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5055 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 1222822125 is about 34968.8736592988. The cubic root of 1222822125 is about 1069.3530094550.

The spelling of 1222822125 in words is "one billion, two hundred twenty-two million, eight hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 63 75 93 105 125 155 175 217 225 279 315 375 465 525 651 775 875 1085 1125 1395 1575 1953 2325 2625 3255 3875 5009 5425 6975 7875 9765 11625 15027 16275 25045 27125 34875 35063 45081 48825 75135 81375 105189 125225 155279 175315 225405 244125 315567 375675 465837 525945 626125 776395 876575 1086953 1127025 1397511 1577835 1878375 2329185 2629725 3260859 3881975 4382875 5434765 5635125 6987555 7889175 9782577 11645925 13148625 16304295 19409875 27173825 34937775 39445875 48912885 58229625 81521475 135869125 174688875 244564425 407607375 1222822125