Search a number
-
+
2262143844 = 223279272
BaseRepresentation
bin1000011011010101…
…1001001101100100
312211122121210222100
42012311121031210
514113102100334
61012245332100
7110025622362
oct20665311544
95748553870
102262143844
11a60a15174
12531707030
132a087c36c
14176616632
15d38e4c99
hex86d59364

2262143844 has 27 divisors (see below), whose sum is σ = 5718918387. Its totient is φ = 753952824.

The previous prime is 2262143809. The next prime is 2262143861. The reversal of 2262143844 is 4483412622.

The square root of 2262143844 is 47562.

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

2262143844 is a `hidden beast` number, since 2 + 262 + 14 + 384 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2262143799 and 2262143808.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 281409 + ... + 289335.

Almost surely, 22262143844 is an apocalyptic number.

2262143844 is the 47562-nd square number.

It is an amenable number.

2262143844 is an abundant number, since it is smaller than the sum of its proper divisors (3456774543).

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

2262143844 is an frugal number, since it uses more digits than its factorization.

2262143844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15864 (or 7932 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The cubic root of 2262143844 is about 1312.7239406731.

Multiplying 2262143844 by its sum of digits (36), we get a square (81437178384 = 2853722).

2262143844 divided by its sum of digits (36) gives a square (62837329 = 79272).

The spelling of 2262143844 in words is "two billion, two hundred sixty-two million, one hundred forty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 7927 15854 23781 31708 47562 71343 95124 142686 285372 62837329 125674658 188511987 251349316 377023974 565535961 754047948 1131071922 2262143844