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2122542144 = 2634409441
BaseRepresentation
bin111111010000011…
…0110110001000000
312110220221022110000
41332200312301000
513321332322034
6550341240000
7103412211342
oct17640666100
95426838400
102122542144
1199a135368
124b2a03000
1327a9813c8
14161c77292
15c651b599
hex7e836c40

2122542144 has 70 divisors (see below), whose sum is σ = 6291895214. Its totient is φ = 707512320.

The previous prime is 2122542133. The next prime is 2122542173. The reversal of 2122542144 is 4412452212.

It is a happy number.

2122542144 is a `hidden beast` number, since 212 + 25 + 421 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1450695744 + 671846400 = 38088^2 + 25920^2 .

It is a super-2 number, since 2×21225421442 = 9010370306112233472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 199537 + ... + 209904.

Almost surely, 22122542144 is an apocalyptic number.

2122542144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2122542144 is an abundant number, since it is smaller than the sum of its proper divisors (4169353070).

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

2122542144 is an equidigital number, since it uses as much as digits as its factorization.

2122542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409465 (or 409446 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2122542144 is about 46071.0553818772. The cubic root of 2122542144 is about 1285.1449303847.

Adding to 2122542144 its reverse (4412452212), we get a palindrome (6534994356).

The spelling of 2122542144 in words is "two billion, one hundred twenty-two million, five hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 409441 818882 1228323 1637764 2456646 3275528 3684969 4913292 6551056 7369938 9826584 11054907 13102112 14739876 19653168 22109814 26204224 29479752 33164721 39306336 44219628 58959504 66329442 78612672 88439256 117919008 132658884 176878512 235838016 265317768 353757024 530635536 707514048 1061271072 2122542144