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4070225922 = 237293722441
BaseRepresentation
bin1111001010011010…
…1011100000000010
3101111122211220022020
43302212223200002
531313434212142
61511515022310
7202602230610
oct36246534002
911448756266
104070225922
1117a9599a84
1295713a996
134cb33c009
142a87d46b0
1518c4e7cec
hexf29ab802

4070225922 has 96 divisors (see below), whose sum is σ = 9895374720. Its totient is φ = 1092026880.

The previous prime is 4070225909. The next prime is 4070225927. The reversal of 4070225922 is 2295220704.

It is a super-2 number, since 2×40702259222 = 33133478112241500168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4070225927) 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, 1666222 + ... + 1668662.

It is an arithmetic number, because the mean of its divisors is an integer number (103076820).

Almost surely, 24070225922 is an apocalyptic number.

4070225922 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4070225922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947687360).

4070225922 is an abundant number, since it is smaller than the sum of its proper divisors (5825148798).

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

4070225922 is a wasteful number, since it uses less digits than its factorization.

4070225922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4070225922 is about 63798.3222506674. The cubic root of 4070225922 is about 1596.6369363399.

The spelling of 4070225922 in words is "four billion, seventy million, two hundred twenty-five thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 37 42 58 74 87 111 174 203 222 259 406 518 609 777 1073 1218 1369 1554 2146 2441 2738 3219 4107 4882 6438 7323 7511 8214 9583 14646 15022 17087 19166 22533 28749 34174 39701 45066 51261 57498 70789 79402 90317 102522 119103 141578 180634 212367 238206 270951 277907 424734 495523 541902 555814 632219 833721 991046 1264438 1486569 1667442 1896657 2619193 2973138 3341729 3793314 5238386 6683458 7857579 10025187 15715158 18334351 20050374 23392103 36668702 46784206 55003053 70176309 96910141 110006106 140352618 193820282 290730423 581460846 678370987 1356741974 2035112961 4070225922