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2433228880 = 245233973331
BaseRepresentation
bin1001000100001000…
…0010000001010000
320021120112211112011
42101002002001100
514440401311010
61041240312304
7114204050515
oct22102020120
96246484464
102433228880
111039548965
1257aa72694
132ca151504
1419122d30c
15e393ba8a
hex91082050

2433228880 has 80 divisors (see below), whose sum is σ = 5919871104. Its totient is φ = 928350720.

The previous prime is 2433228877. The next prime is 2433228893. The reversal of 2433228880 is 888223342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728815 + ... + 732145.

Almost surely, 22433228880 is an apocalyptic number.

2433228880 is a gapful number since it is divisible by the number (20) 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 2433228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959935552).

2433228880 is an abundant number, since it is smaller than the sum of its proper divisors (3486642224).

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

2433228880 is a wasteful number, since it uses less digits than its factorization.

2433228880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 2433228880 is about 49327.7698664758. The cubic root of 2433228880 is about 1345.0166302998.

The spelling of 2433228880 in words is "two billion, four hundred thirty-three million, two hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 397 460 794 920 1588 1840 1985 3176 3331 3970 6352 6662 7940 9131 13324 15880 16655 18262 26648 31760 33310 36524 45655 53296 66620 73048 76613 91310 133240 146096 153226 182620 266480 306452 365240 383065 612904 730480 766130 1225808 1322407 1532260 2644814 3064520 5289628 6129040 6612035 10579256 13224070 21158512 26448140 30415361 52896280 60830722 105792560 121661444 152076805 243322888 304153610 486645776 608307220 1216614440 2433228880