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1022015540 = 225721380221
BaseRepresentation
bin111100111010101…
…011100000110100
32122020002202202102
4330322223200310
54043113444130
6245225201232
734216663100
oct7472534064
92566082672
101022015540
114849a0447
12246330218
13133977b30
1499a3c900
155eace645
hex3ceab834

1022015540 has 72 divisors (see below), whose sum is σ = 2688720552. Its totient is φ = 323447040.

The previous prime is 1022015539. The next prime is 1022015629. The reversal of 1022015540 is 455102201.

It can be written as a sum of positive squares in 4 ways, for example, as 14714896 + 1007300644 = 3836^2 + 31738^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27371 + ... + 52850.

It is an arithmetic number, because the mean of its divisors is an integer number (37343341).

Almost surely, 21022015540 is an apocalyptic number.

1022015540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022015540 is an abundant number, since it is smaller than the sum of its proper divisors (1666705012).

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

1022015540 is a wasteful number, since it uses less digits than its factorization.

1022015540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80257 (or 80248 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1022015540 is about 31968.9777753371. The cubic root of 1022015540 is about 1007.2853087192.

Adding to 1022015540 its reverse (455102201), we get a palindrome (1477117741).

The spelling of 1022015540 in words is "one billion, twenty-two million, fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 80221 160442 320884 401105 561547 802210 1042873 1123094 1604420 2085746 2246188 2807735 3930829 4171492 5214365 5615470 7300111 7861658 10428730 11230940 14600222 15723316 19654145 20857460 29200444 36500555 39308290 51100777 73001110 78616580 102201554 146002220 204403108 255503885 511007770 1022015540