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4031022420 = 22325411035303
BaseRepresentation
bin1111000001000100…
…1000010101010100
3101101221002011012200
43300101020111110
531223420204140
61503554444500
7201615060645
oct36021102524
911357064180
104031022420
111789452897
12945b93730
134c3193b89
142a350b6cc
15188d52030
hexf0448554

4031022420 has 144 divisors (see below), whose sum is σ = 12649658112. Its totient is φ = 1038343680.

The previous prime is 4031022341. The next prime is 4031022427. The reversal of 4031022420 is 242201304.

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

It is a junction number, because it is equal to n+sod(n) for n = 4031022393 and 4031022402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031022427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757489 + ... + 762791.

It is an arithmetic number, because the mean of its divisors is an integer number (87844848).

Almost surely, 24031022420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4031022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324829056).

4031022420 is an abundant number, since it is smaller than the sum of its proper divisors (8618635692).

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

4031022420 is a wasteful number, since it uses less digits than its factorization.

4031022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5457 counting only the distinct ones).

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

The square root of 4031022420 is about 63490.3332799569. Note that the first 3 decimals coincide. The cubic root of 4031022420 is about 1591.4942402631.

Adding to 4031022420 its reverse (242201304), we get a palindrome (4273223724).

The spelling of 4031022420 in words is "four billion, thirty-one million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 103 123 164 180 205 206 246 309 369 410 412 492 515 615 618 738 820 927 1030 1230 1236 1476 1545 1845 1854 2060 2460 3090 3690 3708 4223 4635 5303 6180 7380 8446 9270 10606 12669 15909 16892 18540 21115 21212 25338 26515 31818 38007 42230 47727 50676 53030 63345 63636 76014 79545 84460 95454 106060 126690 152028 159090 190035 190908 217423 238635 253380 318180 380070 434846 477270 546209 652269 760140 869692 954540 1087115 1092418 1304538 1638627 1956807 2174230 2184836 2609076 2731045 3261345 3277254 3913614 4348460 4915881 5462090 6522690 6554508 7827228 8193135 9784035 9831762 10924180 13045380 16386270 19568070 19663524 22394569 24579405 32772540 39136140 44789138 49158810 67183707 89578276 98317620 111972845 134367414 201551121 223945690 268734828 335918535 403102242 447891380 671837070 806204484 1007755605 1343674140 2015511210 4031022420