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1022059242 = 233591492153
BaseRepresentation
bin111100111010110…
…110001011101010
32122020011222201000
4330322312023222
54043121343432
6245230135430
734220234361
oct7472661352
92566158630
101022059242
11484a20266
12246351576
131339919a9
1499a507d8
155eadc57c
hex3ceb62ea

1022059242 has 64 divisors (see below), whose sum is σ = 2326320000. Its totient is φ = 332509824.

The previous prime is 1022059237. The next prime is 1022059327. The reversal of 1022059242 is 2429502201.

It is a happy number.

1022059242 is a `hidden beast` number, since 10 + 2 + 20 + 592 + 42 = 666.

It is a super-2 number, since 2×10220592422 = 2089210188315229128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 473638 + ... + 475790.

It is an arithmetic number, because the mean of its divisors is an integer number (36348750).

Almost surely, 21022059242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022059242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163160000).

1022059242 is an abundant number, since it is smaller than the sum of its proper divisors (1304260758).

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

1022059242 is a wasteful number, since it uses less digits than its factorization.

1022059242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1022059242 is about 31969.6612744020. The cubic root of 1022059242 is about 1007.2996658900.

The spelling of 1022059242 in words is "one billion, twenty-two million, fifty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 59 118 149 177 298 354 447 531 894 1062 1341 1593 2153 2682 3186 4023 4306 6459 8046 8791 12918 17582 19377 26373 38754 52746 58131 79119 116262 127027 158238 237357 254054 320797 381081 474714 641594 762162 962391 1143243 1924782 2286486 2887173 3429729 5774346 6859458 8661519 17323038 18927023 37854046 56781069 113562138 170343207 340686414 511029621 1022059242