Search a number
-
+
1225930784 = 25134017349
BaseRepresentation
bin100100100010010…
…0011100000100000
310011102210201212212
41021010203200200
510002314241114
6321351541252
742244145141
oct11104434040
93142721785
101225930784
1157a007a41
122a268a828
13166ca3240
14b8b5dac8
157295db3e
hex49123820

1225930784 has 48 divisors (see below), whose sum is σ = 2606045400. Its totient is φ = 564326400.

The previous prime is 1225930763. The next prime is 1225930793. The reversal of 1225930784 is 4870395221.

It can be written as a sum of positive squares in 4 ways, for example, as 1199098384 + 26832400 = 34628^2 + 5180^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163142 + ... + 170490.

Almost surely, 21225930784 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 1225930784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303022700).

1225930784 is an abundant number, since it is smaller than the sum of its proper divisors (1380114616).

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

1225930784 is a wasteful number, since it uses less digits than its factorization.

1225930784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 1225930784 is about 35013.2943894173. The cubic root of 1225930784 is about 1070.2584125625.

The spelling of 1225930784 in words is "one billion, two hundred twenty-five million, nine hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 401 416 802 1604 3208 5213 6416 7349 10426 12832 14698 20852 29396 41704 58792 83408 95537 117584 166816 191074 235168 382148 764296 1528592 2946949 3057184 5893898 11787796 23575592 38310337 47151184 76620674 94302368 153241348 306482696 612965392 1225930784