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1225161344 = 271119411117
BaseRepresentation
bin100100100000110…
…0111101010000000
310011101100122102002
41021001213222000
510002120130334
6321323243132
742234461651
oct11101475200
93141318362
101225161344
11579631940
122a23794a8
13166a93c54
14b89dd528
157285ab7e
hex49067a80

1225161344 has 128 divisors (see below), whose sum is σ = 2873707200. Its totient is φ = 514252800.

The previous prime is 1225161319. The next prime is 1225161349. The reversal of 1225161344 is 4431615221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1225161349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096274 + ... + 1097390.

Almost surely, 21225161344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436853600).

1225161344 is an abundant number, since it is smaller than the sum of its proper divisors (1648545856).

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

1225161344 is a wasteful number, since it uses less digits than its factorization.

1225161344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1190 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 1225161344 is about 35002.3048383960. The cubic root of 1225161344 is about 1070.0344543015.

Adding to 1225161344 its reverse (4431615221), we get a palindrome (5656776565).

The spelling of 1225161344 in words is "one billion, two hundred twenty-five million, one hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 41 44 64 76 82 88 128 152 164 176 209 304 328 352 418 451 608 656 704 779 836 902 1117 1216 1312 1408 1558 1672 1804 2234 2432 2624 3116 3344 3608 4468 5248 6232 6688 7216 8569 8936 12287 12464 13376 14432 17138 17872 21223 24574 24928 26752 28864 34276 35744 42446 45797 49148 49856 57728 68552 71488 84892 91594 98296 99712 137104 142976 169784 183188 196592 233453 274208 339568 366376 393184 466906 503767 548416 679136 732752 786368 870143 933812 1007534 1096832 1358272 1465504 1572736 1740286 1867624 2015068 2716544 2931008 3480572 3735248 4030136 5862016 6961144 7470496 8060272 9571573 13922288 14940992 16120544 19143146 27844576 29881984 32241088 38286292 55689152 64482176 76572584 111378304 153145168 306290336 612580672 1225161344