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1022144340 = 223579972441
BaseRepresentation
bin111100111011001…
…010111101010100
32122020100022102210
4330323022331110
54043132104330
6245232033420
734221040440
oct7473127524
92566308383
101022144340
11484a79198
12246392870
131339c1649
1499a73820
155eb078b0
hex3cecaf54

1022144340 has 96 divisors (see below), whose sum is σ = 3275483904. Its totient is φ = 233303040.

The previous prime is 1022144323. The next prime is 1022144359. The reversal of 1022144340 is 434412201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417520 + ... + 419960.

It is an arithmetic number, because the mean of its divisors is an integer number (34119624).

Almost surely, 21022144340 is an apocalyptic number.

1022144340 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 1022144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637741952).

1022144340 is an abundant number, since it is smaller than the sum of its proper divisors (2253339564).

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

1022144340 is a wasteful number, since it uses less digits than its factorization.

1022144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1022144340 is about 31970.9921647734. The cubic root of 1022144340 is about 1007.3276214803.

Adding to 1022144340 its reverse (434412201), we get a palindrome (1456556541).

The spelling of 1022144340 in words is "one billion, twenty-two million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 997 1994 2441 2991 3988 4882 4985 5982 6979 7323 9764 9970 11964 12205 13958 14646 14955 17087 19940 20937 24410 27916 29292 29910 34174 34895 36615 41874 48820 51261 59820 68348 69790 73230 83748 85435 102522 104685 139580 146460 170870 205044 209370 256305 341740 418740 512610 1025220 2433677 4867354 7301031 9734708 12168385 14602062 17035739 24336770 29204124 34071478 36505155 48673540 51107217 68142956 73010310 85178695 102214434 146020620 170357390 204428868 255536085 340714780 511072170 1022144340