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4022240046 = 23112319313729
BaseRepresentation
bin1110111110111110…
…1000001100101110
3101101022112222001120
43233233220030232
531214143140141
61503042321410
7201450322236
oct35757501456
911338488046
104022240046
1117844a4530
12943059266
134c140a5c6
142a22a2cc6
151881b9c66
hexefbe832e

4022240046 has 64 divisors (see below), whose sum is σ = 9205470720. Its totient is φ = 1159741440.

The previous prime is 4022240041. The next prime is 4022240071. The reversal of 4022240046 is 6400422204.

It is a junction number, because it is equal to n+sod(n) for n = 4022239998 and 4022240025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022240041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286110 + ... + 299838.

It is an arithmetic number, because the mean of its divisors is an integer number (143835480).

Almost surely, 24022240046 is an apocalyptic number.

4022240046 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022240046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602735360).

4022240046 is an abundant number, since it is smaller than the sum of its proper divisors (5183230674).

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

4022240046 is a wasteful number, since it uses less digits than its factorization.

4022240046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13961.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4022240046 is about 63421.1324875234. The cubic root of 4022240046 is about 1590.3376056180.

The spelling of 4022240046 in words is "four billion, twenty-two million, two hundred forty thousand, forty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 193 253 386 506 579 759 1158 1518 2123 4246 4439 6369 8878 12738 13317 13729 26634 27458 41187 48829 82374 97658 146487 151019 292974 302038 315767 453057 631534 906114 947301 1894602 2649697 3473437 5299394 6946874 7949091 10420311 15898182 20840622 29146667 58293334 60943031 87440001 121886062 174880002 182829093 365658186 670373341 1340746682 2011120023 4022240046