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1421022400 = 26527711787
BaseRepresentation
bin101010010110011…
…0001010011000000
310200000220102021021
41110230301103000
510402240204100
6353001235224
750133330310
oct12454612300
93600812237
101421022400
1166a148186
12337a92b14
1319852c375
14d6a25440
1584b48a1a
hex54b314c0

1421022400 has 168 divisors, whose sum is σ = 4054669056. Its totient is φ = 480076800.

The previous prime is 1421022397. The next prime is 1421022433. The reversal of 1421022400 is 42201241.

It is a super-2 number, since 2×14210224002 = 4038609322603520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794307 + ... + 796093.

Almost surely, 21421022400 is an apocalyptic number.

1421022400 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 1421022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027334528).

1421022400 is an abundant number, since it is smaller than the sum of its proper divisors (2633646656).

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

1421022400 is a wasteful number, since it uses less digits than its factorization.

1421022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1421022400 is about 37696.4507613117. The cubic root of 1421022400 is about 1124.2605577057.

Adding to 1421022400 its reverse (42201241), we get a palindrome (1463223641).

The spelling of 1421022400 in words is "one billion, four hundred twenty-one million, twenty-two thousand, four hundred".