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1022144040 = 2332517167017
BaseRepresentation
bin111100111011001…
…010111000101000
32122020100022000200
4330323022320220
54043132102130
6245232032200
734221036531
oct7473127050
92566308020
101022144040
11484a78a45
12246392660
131339c1478
1499a73688
155eb07760
hex3cecae28

1022144040 has 96 divisors (see below), whose sum is σ = 3517399080. Its totient is φ = 256536576.

The previous prime is 1022144033. The next prime is 1022144047. The reversal of 1022144040 is 404412201.

1022144040 is a `hidden beast` number, since 1 + 0 + 221 + 440 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1022144033) and next prime (1022144047).

It can be written as a sum of positive squares in 4 ways, for example, as 991872036 + 30272004 = 31494^2 + 5502^2 .

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 (1022144047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77389 + ... + 89628.

Almost surely, 21022144040 is an apocalyptic number.

1022144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022144040 is an abundant number, since it is smaller than the sum of its proper divisors (2495255040).

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

1022144040 is a wasteful number, since it uses less digits than its factorization.

1022144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167051 (or 167044 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1022144040 is about 31970.9874730200. The cubic root of 1022144040 is about 1007.3275229298.

Adding to 1022144040 its reverse (404412201), we get a palindrome (1426556241).

The spelling of 1022144040 in words is "one billion, twenty-two million, one hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 167017 334034 501051 668068 835085 1002102 1336136 1503153 1670170 2004204 2505255 2839289 3006306 3340340 4008408 5010510 5678578 6012612 6680680 7515765 8517867 10021020 11357156 12025224 14196445 15031530 17035734 20042040 22714312 25553601 28392890 30063060 34071468 42589335 51107202 56785780 60126120 68142936 85178670 102214404 113571560 127768005 170357340 204428808 255536010 340714680 511072020 1022144040