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1030222440 = 23325131723563
BaseRepresentation
bin111101011001111…
…111001001101000
32122210112201111200
4331121333021220
54102214104230
6250121124200
734346513652
oct7531771150
92583481450
101030222440
11489596405
12249029660
1313558c4a0
149ab776d2
15606a1160
hex3d67f268

1030222440 has 384 divisors, whose sum is σ = 3990954240. Its totient is φ = 227893248.

The previous prime is 1030222433. The next prime is 1030222441. The reversal of 1030222440 is 442220301.

1030222440 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 222 + 440 = 666.

It is a super-2 number, since 2×10302224402 = 2122716551759107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1030222441) 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, 1829599 + ... + 1830161.

It is an arithmetic number, because the mean of its divisors is an integer number (10393110).

Almost surely, 21030222440 is an apocalyptic number.

1030222440 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 1030222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995477120).

1030222440 is an abundant number, since it is smaller than the sum of its proper divisors (2960731800).

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

1030222440 is a wasteful number, since it uses less digits than its factorization.

1030222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1030222440 is about 32097.0783717148. The cubic root of 1030222440 is about 1009.9743286616.

Adding to 1030222440 its reverse (442220301), we get a palindrome (1472442741).

The spelling of 1030222440 in words is "one billion, thirty million, two hundred twenty-two thousand, four hundred forty".