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2130022404 = 2232893891709
BaseRepresentation
bin111111011110101…
…1001000000000100
312111110000100102200
41332331121000010
513330241204104
6551205434500
7103532614566
oct17675310004
95443010380
102130022404
119a33843a4
124b540ba30
1327c3a00b3
14162c63336
15c6ee7b39
hex7ef59004

2130022404 has 72 divisors (see below), whose sum is σ = 5461911000. Its totient is φ = 699815424.

The previous prime is 2130022399. The next prime is 2130022409. The reversal of 2130022404 is 4042200312.

It is an interprime number because it is at equal distance from previous prime (2130022399) and next prime (2130022409).

It can be written as a sum of positive squares in 4 ways, for example, as 13838400 + 2116184004 = 3720^2 + 46002^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2130022409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245502 + ... + 1247210.

It is an arithmetic number, because the mean of its divisors is an integer number (75859875).

Almost surely, 22130022404 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 2130022404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730955500).

2130022404 is an abundant number, since it is smaller than the sum of its proper divisors (3331888596).

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

2130022404 is a wasteful number, since it uses less digits than its factorization.

2130022404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2130022404 is about 46152.1657563326. The cubic root of 2130022404 is about 1286.6528623299.

Adding to 2130022404 its reverse (4042200312), we get a palindrome (6172222716).

The spelling of 2130022404 in words is "two billion, one hundred thirty million, twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 389 534 778 801 1068 1167 1556 1602 1709 2334 3204 3418 3501 4668 5127 6836 7002 10254 14004 15381 20508 30762 34621 61524 69242 103863 138484 152101 207726 304202 311589 415452 456303 608404 623178 664801 912606 1246356 1329602 1368909 1825212 1994403 2659204 2737818 3988806 5475636 5983209 7977612 11966418 23932836 59167289 118334578 177501867 236669156 355003734 532505601 710007468 1065011202 2130022404