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1225836544 = 21117137257
BaseRepresentation
bin100100100010000…
…1100100000000000
310011102121221121111
41021010030200000
510002303232134
6321345533104
742243303322
oct11104144000
93142557544
101225836544
11579a53159
122a2644194
13166c6c38a
14b8b37612
1572940c64
hex4910c800

1225836544 has 96 divisors (see below), whose sum is σ = 2624370840. Its totient is φ = 570425344.

The previous prime is 1225836539. The next prime is 1225836551. The reversal of 1225836544 is 4456385221.

It can be written as a sum of positive squares in 4 ways, for example, as 1205478400 + 20358144 = 34720^2 + 4512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1225836497 and 1225836506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4769664 + ... + 4769920.

Almost surely, 21225836544 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 1225836544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312185420).

1225836544 is an abundant number, since it is smaller than the sum of its proper divisors (1398534296).

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

1225836544 is a wasteful number, since it uses less digits than its factorization.

1225836544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 1225836544 is about 35011.9485890174. The cubic root of 1225836544 is about 1070.2309874858.

The spelling of 1225836544 in words is "one billion, two hundred twenty-five million, eight hundred thirty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 137 256 257 272 274 512 514 544 548 1024 1028 1088 1096 2048 2056 2176 2192 2329 4112 4352 4369 4384 4658 8224 8704 8738 8768 9316 16448 17408 17476 17536 18632 32896 34816 34952 35072 35209 37264 65792 69904 70144 70418 74528 131584 139808 140288 140836 149056 263168 279616 280576 281672 298112 526336 559232 563344 596224 598553 1118464 1126688 1192448 1197106 2236928 2253376 2384896 2394212 4473856 4506752 4769792 4788424 8947712 9013504 9576848 18027008 19153696 36054016 38307392 72108032 76614784 153229568 306459136 612918272 1225836544