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2221232040 = 2332561101149
BaseRepresentation
bin1000010001100101…
…0100111110101000
312201210122021112100
42010121110332220
514022113411130
61004224413400
7106021106106
oct20431247650
95653567470
102221232040
11a3a911565
1251ba77260
132952567b1
14171006c76
15d0012c60
hex84654fa8

2221232040 has 96 divisors (see below), whose sum is σ = 7337421000. Its totient is φ = 582612480.

The previous prime is 2221232033. The next prime is 2221232047. The reversal of 2221232040 is 402321222.

It is an interprime number because it is at equal distance from previous prime (2221232033) and next prime (2221232047).

It can be written as a sum of positive squares in 4 ways, for example, as 1902180996 + 319051044 = 43614^2 + 17862^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2221232047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28615 + ... + 72534.

Almost surely, 22221232040 is an apocalyptic number.

2221232040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221232040 is an abundant number, since it is smaller than the sum of its proper divisors (5116188960).

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

2221232040 is a wasteful number, since it uses less digits than its factorization.

2221232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101227 (or 101220 counting only the distinct ones).

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

The square root of 2221232040 is about 47129.9484404556. The cubic root of 2221232040 is about 1304.7620299777.

Adding to 2221232040 its reverse (402321222), we get a palindrome (2623553262).

The spelling of 2221232040 in words is "two billion, two hundred twenty-one million, two hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 101149 202298 303447 404596 505745 606894 809192 910341 1011490 1213788 1517235 1820682 2022980 2427576 3034470 3641364 4045960 4551705 6068940 6170089 7282728 9103410 12137880 12340178 18206820 18510267 24680356 30850445 36413640 37020534 49360712 55530801 61700890 74041068 92551335 111061602 123401780 148082136 185102670 222123204 246803560 277654005 370205340 444246408 555308010 740410680 1110616020 2221232040