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1022004144 = 243271013893
BaseRepresentation
bin111100111010101…
…000101110110000
32122020002012010100
4330322220232300
54043113113034
6245225032400
734216614630
oct7472505660
92566065110
101022004144
11484992927
12246325700
131339728a5
1499a386c0
155eacb099
hex3cea8bb0

1022004144 has 60 divisors (see below), whose sum is σ = 3268794256. Its totient is φ = 292000896.

The previous prime is 1022004073. The next prime is 1022004163. The reversal of 1022004144 is 4414002201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505939 + ... + 507954.

Almost surely, 21022004144 is an apocalyptic number.

1022004144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1022004144 is an abundant number, since it is smaller than the sum of its proper divisors (2246790112).

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

1022004144 is a wasteful number, since it uses less digits than its factorization.

1022004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013914 (or 1013905 counting only the distinct ones).

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

The square root of 1022004144 is about 31968.7995395511. The cubic root of 1022004144 is about 1007.2815647885.

Adding to 1022004144 its reverse (4414002201), we get a palindrome (5436006345).

The spelling of 1022004144 in words is "one billion, twenty-two million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1013893 2027786 3041679 4055572 6083358 7097251 8111144 9125037 12166716 14194502 16222288 18250074 21291753 24333432 28389004 36500148 42583506 48666864 56778008 63875259 73000296 85167012 113556016 127750518 146000592 170334024 255501036 340668048 511002072 1022004144