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2142244500 = 223531132937
BaseRepresentation
bin111111110110000…
…0000111010010100
312112022000021222220
41333230000322110
513341403311000
6552323422340
7104041530534
oct17754007224
95468007886
102142244500
119aa272000
124b95249b0
13281a8c1c6
141647254c4
15c810e1a0
hex7fb00e94

2142244500 has 384 divisors, whose sum is σ = 7290017280. Its totient is φ = 487872000.

The previous prime is 2142244459. The next prime is 2142244519. The reversal of 2142244500 is 54422412.

It is a happy number.

It is a super-2 number, since 2×21422445002 = 9178422995560500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57898482 + ... + 57898518.

It is an arithmetic number, because the mean of its divisors is an integer number (18984420).

Almost surely, 22142244500 is an apocalyptic number.

2142244500 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 2142244500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645008640).

2142244500 is an abundant number, since it is smaller than the sum of its proper divisors (5147772780).

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

2142244500 is a wasteful number, since it uses less digits than its factorization.

2142244500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2142244500 is about 46284.3872164254. The cubic root of 2142244500 is about 1289.1091138699.

Adding to 2142244500 its reverse (54422412), we get a palindrome (2196666912).

It can be divided in two parts, 2142 and 244500, that added together give a palindrome (246642).

The spelling of 2142244500 in words is "two billion, one hundred forty-two million, two hundred forty-four thousand, five hundred".