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54322023400 = 23524115314327
BaseRepresentation
bin110010100101110110…
…000100101111101000
312012012210110201010121
4302211312010233220
51342222414222100
640542153253024
73632102403031
oct624566045750
9165183421117
1054322023400
1121046403217
12a640404174
135179300618
1428b474ba88
15162e02951a
hexca5d84be8

54322023400 has 96 divisors (see below), whose sum is σ = 129493586880. Its totient is φ = 21180096000.

The previous prime is 54322023377. The next prime is 54322023407. The reversal of 54322023400 is 432022345.

54322023400 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 (25).

It is not an unprimeable number, because it can be changed into a prime (54322023407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12552037 + ... + 12556363.

It is an arithmetic number, because the mean of its divisors is an integer number (1348891530).

Almost surely, 254322023400 is an apocalyptic number.

54322023400 is a gapful number since it is divisible by the number (50) 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 54322023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64746793440).

54322023400 is an abundant number, since it is smaller than the sum of its proper divisors (75171563480).

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

54322023400 is a wasteful number, since it uses less digits than its factorization.

54322023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 54322023400 its reverse (432022345), we get a palindrome (54754045745).

The spelling of 54322023400 in words is "fifty-four billion, three hundred twenty-two million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1531 1640 2050 3062 4100 4327 6124 7655 8200 8654 12248 15310 17308 21635 30620 34616 38275 43270 61240 62771 76550 86540 108175 125542 153100 173080 177407 216350 251084 306200 313855 354814 432700 502168 627710 709628 865400 887035 1255420 1419256 1569275 1774070 2510840 3138550 3548140 4435175 6277100 6624637 7096280 8870350 12554200 13249274 17740700 26498548 33123185 35481400 52997096 66246370 132492740 165615925 264985480 271610117 331231850 543220234 662463700 1086440468 1324927400 1358050585 2172880936 2716101170 5432202340 6790252925 10864404680 13580505850 27161011700 54322023400