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2001223040 = 2757144041
BaseRepresentation
bin111011101001000…
…0011110110000000
312011110122122220212
41313102003312000
513044303114130
6530325053252
7100410054335
oct16722036600
95143578825
102001223040
11937702543
1247a257228
1325b7b4c5b
1414dad698c
15baa54e95
hex77483d80

2001223040 has 64 divisors (see below), whose sum is σ = 4851666720. Its totient is φ = 789196800.

The previous prime is 2001222991. The next prime is 2001223057. The reversal of 2001223040 is 403221002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23420 + ... + 67460.

Almost surely, 22001223040 is an apocalyptic number.

2001223040 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 2001223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425833360).

2001223040 is an abundant number, since it is smaller than the sum of its proper divisors (2850443680).

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

2001223040 is an equidigital number, since it uses as much as digits as its factorization.

2001223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44131 (or 44119 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2001223040 is about 44735.0314630492. The cubic root of 2001223040 is about 1260.1778198688.

Adding to 2001223040 its reverse (403221002), we get a palindrome (2404444042).

The spelling of 2001223040 in words is "two billion, one million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 284 320 355 568 640 710 1136 1420 2272 2840 4544 5680 9088 11360 22720 44041 45440 88082 176164 220205 352328 440410 704656 880820 1409312 1761640 2818624 3126911 3523280 5637248 6253822 7046560 12507644 14093120 15634555 25015288 28186240 31269110 50030576 62538220 100061152 125076440 200122304 250152880 400244608 500305760 1000611520 2001223040