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1225014432 = 253103229541
BaseRepresentation
bin100100100000100…
…0011110010100000
310011101002011212220
41021001003302200
510002100430212
6321320151040
742233310435
oct11101036240
93141064786
101225014432
11579541524
122a2308480
13166a42115
14b89a1b8c
157282c38c
hex49043ca0

1225014432 has 96 divisors (see below), whose sum is σ = 3267089280. Its totient is φ = 401863680.

The previous prime is 1225014421. The next prime is 1225014449. The reversal of 1225014432 is 2344105221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2264082 + ... + 2264622.

It is an arithmetic number, because the mean of its divisors is an integer number (34032180).

Almost surely, 21225014432 is an apocalyptic number.

1225014432 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 1225014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633544640).

1225014432 is an abundant number, since it is smaller than the sum of its proper divisors (2042074848).

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

1225014432 is a wasteful number, since it uses less digits than its factorization.

1225014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1225014432 is about 35000.2061708213. The cubic root of 1225014432 is about 1069.9916824695.

Adding to 1225014432 its reverse (2344105221), we get a palindrome (3569119653).

The spelling of 1225014432 in words is "one billion, two hundred twenty-five million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 229 309 412 458 541 618 687 824 916 1082 1236 1374 1623 1648 1832 2164 2472 2748 3246 3296 3664 4328 4944 5496 6492 7328 8656 9888 10992 12984 17312 21984 23587 25968 47174 51936 55723 70761 94348 111446 123889 141522 167169 188696 222892 247778 283044 334338 371667 377392 445784 495556 566088 668676 743334 754784 891568 991112 1132176 1337352 1486668 1783136 1982224 2264352 2674704 2973336 3964448 5349408 5946672 11893344 12760567 25521134 38281701 51042268 76563402 102084536 153126804 204169072 306253608 408338144 612507216 1225014432