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1225501416 = 2332103257643
BaseRepresentation
bin100100100001011…
…1010101011101000
310011101222220220100
41021002322223220
510002212021131
6321334425400
742240406266
oct11102725350
93141886810
101225501416
11579844397
122a2502260
13166b82989
14b8a8b436
15728c67e6
hex490baae8

1225501416 has 96 divisors (see below), whose sum is σ = 3369562560. Its totient is φ = 402333696.

The previous prime is 1225501411. The next prime is 1225501421. The reversal of 1225501416 is 6141055221.

It is an interprime number because it is at equal distance from previous prime (1225501411) and next prime (1225501421).

It is a self number, because there is not a number n which added to its sum of digits gives 1225501416.

It is not an unprimeable number, because it can be changed into a prime (1225501411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1905591 + ... + 1906233.

It is an arithmetic number, because the mean of its divisors is an integer number (35099610).

Almost surely, 21225501416 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 1225501416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684781280).

1225501416 is an abundant number, since it is smaller than the sum of its proper divisors (2144061144).

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

1225501416 is a wasteful number, since it uses less digits than its factorization.

1225501416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1225501416 is about 35007.1623528672. The cubic root of 1225501416 is about 1070.1334494516.

Adding to 1225501416 its reverse (6141055221), we get a palindrome (7366556637).

The spelling of 1225501416 in words is "one billion, two hundred twenty-five million, five hundred one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 257 309 412 514 618 643 771 824 927 1028 1236 1286 1542 1854 1929 2056 2313 2472 2572 3084 3708 3858 4626 5144 5787 6168 7416 7716 9252 11574 15432 18504 23148 26471 46296 52942 66229 79413 105884 132458 158826 165251 198687 211768 238239 264916 317652 330502 397374 476478 495753 529832 596061 635304 661004 794748 952956 991506 1192122 1322008 1487259 1589496 1905912 1983012 2384244 2974518 3966024 4768488 5949036 11898072 17020853 34041706 51062559 68083412 102125118 136166824 153187677 204250236 306375354 408500472 612750708 1225501416