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4080233220 = 2235797100153
BaseRepresentation
bin1111001100110011…
…0110101100000100
3101112100200022201220
43303030312230010
531324014430340
61512513320340
7203053260450
oct36314665404
911470608656
104080233220
111804204678
1295a5660b0
13500433cab
142a9c7b660
1518d322ed0
hexf3336b04

4080233220 has 96 divisors (see below), whose sum is σ = 13191483648. Its totient is φ = 923000832.

The previous prime is 4080233197. The next prime is 4080233263. The reversal of 4080233220 is 223320804.

4080233220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9337 + ... + 90816.

It is an arithmetic number, because the mean of its divisors is an integer number (137411288).

Almost surely, 24080233220 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 4080233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595741824).

4080233220 is an abundant number, since it is smaller than the sum of its proper divisors (9111250428).

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

4080233220 is a wasteful number, since it uses less digits than its factorization.

4080233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100269 (or 100267 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4080233220 is about 63876.7032649619. The cubic root of 4080233220 is about 1597.9443940377.

The spelling of 4080233220 in words is "four billion, eighty million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 97 105 140 194 210 291 388 420 485 582 679 970 1164 1358 1455 1940 2037 2716 2910 3395 4074 5820 6790 8148 10185 13580 20370 40740 100153 200306 300459 400612 500765 600918 701071 1001530 1201836 1402142 1502295 2003060 2103213 2804284 3004590 3505355 4206426 6009180 7010710 8412852 9714841 10516065 14021420 19429682 21032130 29144523 38859364 42064260 48574205 58289046 68003887 97148410 116578092 136007774 145722615 194296820 204011661 272015548 291445230 340019435 408023322 582890460 680038870 816046644 1020058305 1360077740 2040116610 4080233220