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2380220424 = 233331373953
BaseRepresentation
bin1000110111011111…
…0100100000001000
320010212210201121000
42031313310200020
514333314023144
61032104215000
7112661353101
oct21567644010
96125721530
102380220424
11101163291a
1256516a460
132bc18196a
141881913a8
15dde6a769
hex8ddf4808

2380220424 has 128 divisors (see below), whose sum is σ = 6850483200. Its totient is φ = 764951040.

The previous prime is 2380220419. The next prime is 2380220441. The reversal of 2380220424 is 4240220832.

2380220424 is a `hidden beast` number, since 238 + 0 + 2 + 2 + 0 + 424 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2497132 + ... + 2498084.

It is an arithmetic number, because the mean of its divisors is an integer number (53519400).

Almost surely, 22380220424 is an apocalyptic number.

2380220424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425241600).

2380220424 is an abundant number, since it is smaller than the sum of its proper divisors (4470262776).

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

2380220424 is a wasteful number, since it uses less digits than its factorization.

2380220424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2380220424 is about 48787.5027440430. The cubic root of 2380220424 is about 1335.1776660402.

The spelling of 2380220424 in words is "two billion, three hundred eighty million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 373 558 744 746 837 953 1116 1119 1492 1674 1906 2232 2238 2859 2984 3348 3357 3812 4476 5718 6696 6714 7624 8577 8952 10071 11436 11563 13428 17154 20142 22872 23126 25731 26856 29543 34308 34689 40284 46252 51462 59086 68616 69378 80568 88629 92504 102924 104067 118172 138756 177258 205848 208134 236344 265887 277512 312201 354516 355469 416268 531774 624402 709032 710938 797661 832536 1063548 1066407 1248804 1421876 1595322 2127096 2132814 2497608 2843752 3190644 3199221 4265628 6381288 6398442 8531256 9597663 11019539 12796884 19195326 22039078 25593768 33058617 38390652 44078156 66117234 76781304 88156312 99175851 132234468 198351702 264468936 297527553 396703404 595055106 793406808 1190110212 2380220424