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2011220240 = 245471573407
BaseRepresentation
bin111011111100000…
…1100100100010000
312012011110120111112
41313320030210100
513104333021430
6531323232452
7100561042601
oct16770144420
95164416445
102011220240
11942310597
12481678728
132608a5463
14151179da8
15bb87c195
hex77e0c910

2011220240 has 80 divisors (see below), whose sum is σ = 4807406592. Its totient is φ = 782126592.

The previous prime is 2011220231. The next prime is 2011220297. The reversal of 2011220240 is 420221102.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588617 + ... + 592023.

Almost surely, 22011220240 is an apocalyptic number.

2011220240 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 2011220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403703296).

2011220240 is an abundant number, since it is smaller than the sum of its proper divisors (2796186352).

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

2011220240 is a wasteful number, since it uses less digits than its factorization.

2011220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2011220240 is about 44846.6301967049. The cubic root of 2011220240 is about 1262.2727603298.

Adding to 2011220240 its reverse (420221102), we get a palindrome (2431441342).

The spelling of 2011220240 in words is "two billion, eleven million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 157 188 235 314 376 470 628 752 785 940 1256 1570 1880 2512 3140 3407 3760 6280 6814 7379 12560 13628 14758 17035 27256 29516 34070 36895 54512 59032 68140 73790 118064 136280 147580 160129 272560 295160 320258 534899 590320 640516 800645 1069798 1281032 1601290 2139596 2562064 2674495 3202580 4279192 5348990 6405160 8558384 10697980 12810320 21395960 25140253 42791920 50280506 100561012 125701265 201122024 251402530 402244048 502805060 1005610120 2011220240