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4023224920 = 23511131937019
BaseRepresentation
bin1110111111001101…
…1000101001011000
3101101101102000001101
43233303120221120
531214421144140
61503115401144
7201461563501
oct35763305130
911341360041
104023224920
111785007480
129434531b4
134c1693980
142a247bba8
1518831199a
hexefcd8a58

4023224920 has 128 divisors (see below), whose sum is σ = 11194848000. Its totient is φ = 1279342080.

The previous prime is 4023224873. The next prime is 4023224921. The reversal of 4023224920 is 294223204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023224921) 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, 90171 + ... + 127189.

It is an arithmetic number, because the mean of its divisors is an integer number (87459750).

Almost surely, 24023224920 is an apocalyptic number.

4023224920 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 4023224920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597424000).

4023224920 is an abundant number, since it is smaller than the sum of its proper divisors (7171623080).

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

4023224920 is a wasteful number, since it uses less digits than its factorization.

4023224920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37073 (or 37069 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4023224920 is about 63428.8965693082. The cubic root of 4023224920 is about 1590.4673968388.

The spelling of 4023224920 in words is "four billion, twenty-three million, two hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 19 20 22 26 38 40 44 52 55 65 76 88 95 104 110 130 143 152 190 209 220 247 260 286 380 418 440 494 520 572 715 760 836 988 1045 1144 1235 1430 1672 1976 2090 2470 2717 2860 4180 4940 5434 5720 8360 9880 10868 13585 21736 27170 37019 54340 74038 108680 148076 185095 296152 370190 407209 481247 703361 740380 814418 962494 1406722 1480760 1628836 1924988 2036045 2406235 2813444 3257672 3516805 3849976 4072090 4812470 5293717 5626888 7033610 7736971 8144180 9143693 9624940 10587434 14067220 15473942 16288360 18287386 19249880 21174868 26468585 28134440 30947884 36574772 38684855 42349736 45718465 52937170 61895768 73149544 77369710 91436930 100580623 105874340 154739420 182873860 201161246 211748680 309478840 365747720 402322492 502903115 804644984 1005806230 2011612460 4023224920