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2141223040 = 27511304151
BaseRepresentation
bin111111110100000…
…0111100010000000
312112020002101211001
41333220013202000
513341123114130
6552245501344
7104030044525
oct17750074200
95466071731
102141223040
119a9734620
124b9111854
132817c22a8
1416453b14c
15c7eab6ca
hex7fa07880

2141223040 has 64 divisors (see below), whose sum is σ = 5584230720. Its totient is φ = 778624000.

The previous prime is 2141223023. The next prime is 2141223043. The reversal of 2141223040 is 403221412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21412230402 = 9169672214053683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2141222999 and 2141223017.

It is not an unprimeable number, because it can be changed into a prime (2141223043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145036 + ... + 159115.

It is an arithmetic number, because the mean of its divisors is an integer number (87253605).

Almost surely, 22141223040 is an apocalyptic number.

2141223040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141223040 is an abundant number, since it is smaller than the sum of its proper divisors (3443007680).

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

2141223040 is a wasteful number, since it uses less digits than its factorization.

2141223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304181 (or 304169 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2141223040 is about 46273.3512942385. The cubic root of 2141223040 is about 1288.9041913011.

Adding to 2141223040 its reverse (403221412), we get a palindrome (2544444452).

The spelling of 2141223040 in words is "two billion, one hundred forty-one million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 304151 608302 1216604 1520755 2433208 3041510 3345661 4866416 6083020 6691322 9732832 12166040 13382644 16728305 19465664 24332080 26765288 33456610 38931328 48664160 53530576 66913220 97328320 107061152 133826440 194656640 214122304 267652880 428244608 535305760 1070611520 2141223040