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2141504232 = 233724342349
BaseRepresentation
bin111111110100100…
…1100001011101000
312112020121200112120
41333221030023220
513341211113412
6552255511240
7104032325400
oct17751141350
95466550476
102141504232
119a990690a
124b9228520
1328189028a
141645b1800
15c8014b8c
hex7fa4c2e8

2141504232 has 96 divisors (see below), whose sum is σ = 6372828000. Its totient is φ = 597614976.

The previous prime is 2141504227. The next prime is 2141504237. The reversal of 2141504232 is 2324051412.

It is an interprime number because it is at equal distance from previous prime (2141504227) and next prime (2141504237).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2141504237) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29394 + ... + 71742.

It is an arithmetic number, because the mean of its divisors is an integer number (66383625).

Almost surely, 22141504232 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 2141504232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186414000).

2141504232 is an abundant number, since it is smaller than the sum of its proper divisors (4231323768).

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

2141504232 is a wasteful number, since it uses less digits than its factorization.

2141504232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42415 (or 42404 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2141504232 is about 46276.3895739501. The cubic root of 2141504232 is about 1288.9606097867.

Adding to 2141504232 its reverse (2324051412), we get a palindrome (4465555644).

The spelling of 2141504232 in words is "two billion, one hundred forty-one million, five hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 344 392 516 588 602 903 1032 1176 1204 1806 2107 2408 3612 4214 6321 7224 8428 12642 16856 25284 42349 50568 84698 127047 169396 254094 296443 338792 508188 592886 889329 1016376 1185772 1778658 1821007 2075101 2371544 3557316 3642014 4150202 5463021 6225303 7114632 7284028 8300404 10926042 12450606 12747049 14568056 16600808 21852084 24901212 25494098 38241147 43704168 49802424 50988196 76482294 89229343 101976392 152964588 178458686 267688029 305929176 356917372 535376058 713834744 1070752116 2141504232