Search a number
-
+
2256150672 = 24341740857
BaseRepresentation
bin1000011001111010…
…0010000010010000
312211020100022220000
42012132202002100
514110033310142
61011513050000
7106623651516
oct20636420220
95736308800
102256150672
11a585a1436
1252b6b6900
1329c5614c9
141758d64b6
15d310e14c
hex867a2090

2256150672 has 50 divisors (see below), whose sum is σ = 6529958358. Its totient is φ = 752049792.

The previous prime is 2256150641. The next prime is 2256150727. The reversal of 2256150672 is 2760516522.

2256150672 is a `hidden beast` number, since 2 + 25 + 61 + 506 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1637335296 + 618815376 = 40464^2 + 24876^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 869133 + ... + 871724.

Almost surely, 22256150672 is an apocalyptic number.

It is an amenable number.

2256150672 is an abundant number, since it is smaller than the sum of its proper divisors (4273807686).

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

2256150672 is a wasteful number, since it uses less digits than its factorization.

2256150672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740877 (or 1740862 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2256150672 is about 47498.9544305977. The cubic root of 2256150672 is about 1311.5636345031.

The spelling of 2256150672 in words is "two billion, two hundred fifty-six million, one hundred fifty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1740857 3481714 5222571 6963428 10445142 13926856 15667713 20890284 27853712 31335426 41780568 47003139 62670852 83561136 94006278 125341704 141009417 188012556 250683408 282018834 376025112 564037668 752050224 1128075336 2256150672