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229400403400 = 23527259163241
BaseRepresentation
bin1101010110100101010…
…1000101110111001000
3210221010022022220222001
43111221111011313020
512224303000402100
6253215102440344
722400520153550
oct3255125056710
9727108286861
10229400403400
1189319602453
12385618930b4
131882b3ca18c
14b162a4a160
155e7960ed6a
hex3569545dc8

229400403400 has 96 divisors (see below), whose sum is σ = 609794542080. Its totient is φ = 78619968000.

The previous prime is 229400403371. The next prime is 229400403433. The reversal of 229400403400 is 4304004922.

229400403400 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 (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3595780 + ... + 3659020.

It is an arithmetic number, because the mean of its divisors is an integer number (6352026480).

Almost surely, 2229400403400 is an apocalyptic number.

229400403400 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 229400403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304897271040).

229400403400 is an abundant number, since it is smaller than the sum of its proper divisors (380394138680).

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

229400403400 is a wasteful number, since it uses less digits than its factorization.

229400403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65855 (or 65846 counting only the distinct ones).

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

The spelling of 229400403400 in words is "two hundred twenty-nine billion, four hundred million, four hundred three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2591 5182 10364 12955 18137 20728 25910 36274 51820 63241 64775 72548 90685 103640 126482 129550 145096 181370 252964 259100 316205 362740 442687 453425 505928 518200 632410 725480 885374 906850 1264820 1581025 1770748 1813700 2213435 2529640 3162050 3541496 3627400 4426870 6324100 8853740 11067175 12648200 17707480 22134350 44268700 88537400 163857431 327714862 655429724 819287155 1147002017 1310859448 1638574310 2294004034 3277148620 4096435775 4588008068 5735010085 6554297240 8192871550 9176016136 11470020170 16385743100 22940040340 28675050425 32771486200 45880080680 57350100850 114700201700 229400403400