Search a number
-
+
2122270464 = 2832763373
BaseRepresentation
bin111111001111111…
…0100011100000000
312110220102111202210
41332133310130000
513321300123324
6550331342120
7103410000306
oct17637643400
95426374683
102122270464
11999a6a236
124b28b1940
1327a8b7852
14161c06276
15c64b5d29
hex7e7f4700

2122270464 has 36 divisors (see below), whose sum is σ = 5648336456. Its totient is φ = 707423232.

The previous prime is 2122270441. The next prime is 2122270483. The reversal of 2122270464 is 4640722212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1380919 + ... + 1382454.

Almost surely, 22122270464 is an apocalyptic number.

2122270464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2122270464 is an abundant number, since it is smaller than the sum of its proper divisors (3526065992).

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

2122270464 is an equidigital number, since it uses as much as digits as its factorization.

2122270464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763392 (or 2763378 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2122270464 is about 46068.1067985217. The cubic root of 2122270464 is about 1285.0900962835.

Adding to 2122270464 its reverse (4640722212), we get a palindrome (6762992676).

The spelling of 2122270464 in words is "two billion, one hundred twenty-two million, two hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2763373 5526746 8290119 11053492 16580238 22106984 33160476 44213968 66320952 88427936 132641904 176855872 265283808 353711744 530567616 707423488 1061135232 2122270464