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224323201400 = 23521577144051
BaseRepresentation
bin1101000011101010110…
…1000110100101111000
3210110000110200100011112
43100322231012211320
512133403214421100
6251015212415452
722130636515424
oct3207255064570
9713013610145
10224323201400
1187153665441
1237585477588
13181cc57a93c
14ac0060db84
155c7da08b35
hex343ab46978

224323201400 has 48 divisors (see below), whose sum is σ = 524873500440. Its totient is φ = 89157744000.

The previous prime is 224323201397. The next prime is 224323201409. The reversal of 224323201400 is 4102323422.

224323201400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224323201409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3540626 + ... + 3603425.

Almost surely, 2224323201400 is an apocalyptic number.

224323201400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224323201400 is an abundant number, since it is smaller than the sum of its proper divisors (300550299040).

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

224323201400 is a wasteful number, since it uses less digits than its factorization.

224323201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7144224 (or 7144215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 224323201400 its reverse (4102323422), we get a palindrome (228425524822).

The spelling of 224323201400 in words is "two hundred twenty-four billion, three hundred twenty-three million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 31400 7144051 14288102 28576204 35720255 57152408 71440510 142881020 178601275 285762040 357202550 714405100 1121616007 1428810200 2243232014 4486464028 5608080035 8972928056 11216160070 22432320140 28040400175 44864640280 56080800350 112161600700 224323201400