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2330220040 = 2351937173479
BaseRepresentation
bin1000101011100100…
…0101011000001000
320000101201102221221
42022321011120020
514233014020130
61023120411424
7111513354301
oct21271053010
96011642857
102330220040
11a96391895
12550476b74
132b19c6335
141816977a8
15d989087a
hex8ae45608

2330220040 has 128 divisors (see below), whose sum is σ = 5712768000. Its totient is φ = 852415488.

The previous prime is 2330220023. The next prime is 2330220041. The reversal of 2330220040 is 400220332.

It is a junction number, because it is equal to n+sod(n) for n = 2330219996 and 2330220023.

It is not an unprimeable number, because it can be changed into a prime (2330220041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4864521 + ... + 4864999.

It is an arithmetic number, because the mean of its divisors is an integer number (44631000).

Almost surely, 22330220040 is an apocalyptic number.

2330220040 is a gapful number since it is divisible by the number (20) 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 2330220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856384000).

2330220040 is an abundant number, since it is smaller than the sum of its proper divisors (3382547960).

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

2330220040 is a wasteful number, since it uses less digits than its factorization.

2330220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2330220040 is about 48272.3527497884. The cubic root of 2330220040 is about 1325.7622366324.

Adding to 2330220040 its reverse (400220332), we get a palindrome (2730440372).

It can be divided in two parts, 23302 and 20040, that multiplied together give a triangular number (466972080 = T30560).

The spelling of 2330220040 in words is "two billion, three hundred thirty million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 173 185 190 296 346 370 380 479 692 703 740 760 865 958 1384 1406 1480 1730 1916 2395 2812 3287 3460 3515 3832 4790 5624 6401 6574 6920 7030 9101 9580 12802 13148 14060 16435 17723 18202 19160 25604 26296 28120 32005 32870 35446 36404 45505 51208 64010 65740 70892 72808 82867 88615 91010 121619 128020 131480 141784 165734 177230 182020 243238 256040 331468 336737 354460 364040 414335 486476 608095 662936 673474 708920 828670 972952 1216190 1346948 1574473 1657340 1683685 2432380 2693896 3066079 3148946 3314680 3367370 4864760 6132158 6297892 6734740 7872365 12264316 12595784 13469480 15330395 15744730 24528632 30660790 31489460 58255501 61321580 62978920 116511002 122643160 233022004 291277505 466044008 582555010 1165110020 2330220040