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4022676240 = 24351115110091
BaseRepresentation
bin1110111111000101…
…0010101100010000
3101101100101010101220
43233301102230100
531214301114430
61503055525040
7201454120032
oct35761225420
911340333356
104022676240
111784772220
12943229780
134c1530ccb
142a2377c52
15188254110
hexefc52b10

4022676240 has 160 divisors (see below), whose sum is σ = 13695409152. Its totient is φ = 968640000.

The previous prime is 4022676197. The next prime is 4022676247. The reversal of 4022676240 is 426762204.

4022676240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4022676247) 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, 393595 + ... + 403685.

Almost surely, 24022676240 is an apocalyptic number.

4022676240 is a gapful number since it is divisible by the number (40) 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 4022676240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847704576).

4022676240 is an abundant number, since it is smaller than the sum of its proper divisors (9672732912).

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

4022676240 is a wasteful number, since it uses less digits than its factorization.

4022676240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10269 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 4022676240 is about 63424.5712638249. The cubic root of 4022676240 is about 1590.3950918810.

The spelling of 4022676240 in words is "four billion, twenty-two million, six hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 151 165 176 220 240 264 302 330 440 453 528 604 660 755 880 906 1208 1320 1510 1661 1812 2265 2416 2640 3020 3322 3624 4530 4983 6040 6644 7248 8305 9060 9966 10091 12080 13288 16610 18120 19932 20182 24915 26576 30273 33220 36240 39864 40364 49830 50455 60546 66440 79728 80728 99660 100910 111001 121092 132880 151365 161456 199320 201820 222002 242184 302730 333003 398640 403640 444004 484368 555005 605460 666006 807280 888008 1110010 1210920 1332012 1523741 1665015 1776016 2220020 2421840 2664024 3047482 3330030 4440040 4571223 5328048 6094964 6660060 7618705 8880080 9142446 12189928 13320120 15237410 16761151 18284892 22856115 24379856 26640240 30474820 33522302 36569784 45712230 50283453 60949640 67044604 73139568 83805755 91424460 100566906 121899280 134089208 167611510 182848920 201133812 251417265 268178416 335223020 365697840 402267624 502834530 670446040 804535248 1005669060 1340892080 2011338120 4022676240