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2021230440 = 2332513142859
BaseRepresentation
bin111100001111001…
…1000011101101000
312012212022010220200
41320132120131220
513114413333230
6532321552200
7101042114055
oct17036303550
95185263820
102021230440
11947a28389
12484aa5660
1326299b858
1415262402c
15bc6a8160
hex78798768

2021230440 has 96 divisors (see below), whose sum is σ = 6619298400. Its totient is φ = 534867840.

The previous prime is 2021230433. The next prime is 2021230493. The reversal of 2021230440 is 440321202.

2021230440 is a `hidden beast` number, since 202 + 1 + 23 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25731 + ... + 68589.

It is an arithmetic number, because the mean of its divisors is an integer number (68951025).

Almost surely, 22021230440 is an apocalyptic number.

2021230440 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 2021230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309649200).

2021230440 is an abundant number, since it is smaller than the sum of its proper divisors (4598067960).

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

2021230440 is a wasteful number, since it uses less digits than its factorization.

2021230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43007 (or 43000 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2021230440 is about 44958.0964899538. The cubic root of 2021230440 is about 1264.3634806955.

Adding to 2021230440 its reverse (440321202), we get a palindrome (2461551642).

The spelling of 2021230440 in words is "two billion, twenty-one million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 131 180 262 360 393 524 655 786 1048 1179 1310 1572 1965 2358 2620 3144 3930 4716 5240 5895 7860 9432 11790 15720 23580 42859 47160 85718 128577 171436 214295 257154 342872 385731 428590 514308 642885 771462 857180 1028616 1285770 1542924 1714360 1928655 2571540 3085848 3857310 5143080 5614529 7714620 11229058 15429240 16843587 22458116 28072645 33687174 44916232 50530761 56145290 67374348 84217935 101061522 112290580 134748696 168435870 202123044 224581160 252653805 336871740 404246088 505307610 673743480 1010615220 2021230440