Search a number
-
+
1225218754816 = 287298832
BaseRepresentation
bin10001110101000100101…
…110101000100100000000
311100010111121020120222121
4101311010232220210000
5130033222000123231
62334505134014024
7154343030403400
oct21650456504400
94303447216877
101225218754816
11432681055921
12179557347314
138b6cb243c34
144342d976800
1521d0dbbe311
hex11d44ba8900

1225218754816 has 81 divisors (see below), whose sum is σ = 2845229430771. Its totient is φ = 525040621056.

The previous prime is 1225218754813. The next prime is 1225218754817. The reversal of 1225218754816 is 6184578125221.

The square root of 1225218754816 is 1106896.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (1225218754813) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123967411 + ... + 123977293.

Almost surely, 21225218754816 is an apocalyptic number.

1225218754816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1225218754816 is the 1106896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225218754816

1225218754816 is an abundant number, since it is smaller than the sum of its proper divisors (1620010675955).

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

1225218754816 is an frugal number, since it uses more digits than its factorization.

1225218754816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19796 (or 9892 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 52.

The spelling of 1225218754816 in words is "one trillion, two hundred twenty-five billion, two hundred eighteen million, seven hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 9883 12544 19766 39532 69181 79064 138362 158128 276724 316256 484267 553448 632512 968534 1106896 1265024 1937068 2213792 2530048 3874136 4427584 7748272 8855168 15496544 17710336 30993088 61986176 97673689 123972352 195347378 390694756 683715823 781389512 1367431646 1562779024 2734863292 3125558048 4786010761 5469726584 6251116096 9572021522 10939453168 12502232192 19144043044 21878906336 25004464384 38288086088 43757812672 76576172176 87515625344 153152344352 175031250688 306304688704 612609377408 1225218754816