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2942222400 = 26335213331
BaseRepresentation
bin1010111101011110…
…1100000001000000
321121001022101101000
42233113230001000
522011202104100
61203542012000
7132624322605
oct25727540100
97531271330
102942222400
11127a898267
126a1417000
1337b735000
141dca866ac
1512347e900
hexaf5ec040

2942222400 has 672 divisors, whose sum is σ = 11993676800. Its totient is φ = 700876800.

The previous prime is 2942222377. The next prime is 2942222407. The reversal of 2942222400 is 42222492.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2942222407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94910385 + ... + 94910415.

Almost surely, 22942222400 is an apocalyptic number.

2942222400 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 2942222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996838400).

2942222400 is an abundant number, since it is smaller than the sum of its proper divisors (9051454400).

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

2942222400 is a wasteful number, since it uses less digits than its factorization.

2942222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2942222400 is about 54242.2565902268. The cubic root of 2942222400 is about 1432.9306290111.

Adding to 2942222400 its reverse (42222492), we get a palindrome (2984444892).

The spelling of 2942222400 in words is "two billion, nine hundred forty-two million, two hundred twenty-two thousand, four hundred".