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1422938400 = 253521359773
BaseRepresentation
bin101010011010000…
…0101000100100000
310200011111202112020
41110310011010200
510403233012100
6353110301440
750155530312
oct12464050440
93604452466
101422938400
11670236754
12338657880
13198a504b0
14d6da37b2
1584dc65a0
hex54d05120

1422938400 has 288 divisors, whose sum is σ = 5079049920. Its totient is φ = 343879680.

The previous prime is 1422938393. The next prime is 1422938431. The reversal of 1422938400 is 48392241.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1840414 + ... + 1841186.

It is an arithmetic number, because the mean of its divisors is an integer number (17635590).

Almost surely, 21422938400 is an apocalyptic number.

1422938400 is a gapful number since it is divisible by the number (10) 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 1422938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539524960).

1422938400 is an abundant number, since it is smaller than the sum of its proper divisors (3656111520).

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

1422938400 is a wasteful number, since it uses less digits than its factorization.

1422938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1422938400 is about 37721.8557337785. The cubic root of 1422938400 is about 1124.7656203091.

The spelling of 1422938400 in words is "one billion, four hundred twenty-two million, nine hundred thirty-eight thousand, four hundred".