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1022084604324 = 223272240712
BaseRepresentation
bin11101101111110001111…
…11010110000110100100
310121201011211111120021100
432313320333112012210
5113221212124314244
62101312244120100
7133562131535400
oct16677077260644
93551154446240
101022084604324
11364511128003
12146106096030
13754c7800854
143767d52c100
151b8c0507b69
hexedf8fd61a4

1022084604324 has 81 divisors (see below), whose sum is σ = 3005540305131. Its totient is φ = 292012040880.

The previous prime is 1022084604313. The next prime is 1022084604361. The reversal of 1022084604324 is 4234064802201.

The square root of 1022084604324 is 1010982.

It is a perfect power (a square), and thus also a powerful number.

1022084604324 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 8 + 4 + 604 + 3 + 24 = 666.

It is a super-2 number, since 2×10220846043242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42449209 + ... + 42473279.

Almost surely, 21022084604324 is an apocalyptic number.

1022084604324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1022084604324 is the 1010982-nd square number.

It is an amenable number.

1022084604324 is an abundant number, since it is smaller than the sum of its proper divisors (1983455700807).

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

1022084604324 is an frugal number, since it uses more digits than its factorization.

1022084604324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48166 (or 24083 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Multiplying 1022084604324 by its sum of digits (36), we get a square (36795045755664 = 60658922).

1022084604324 divided by its sum of digits (36) gives a square (28391239009 = 1684972).

The spelling of 1022084604324 in words is "one trillion, twenty-two billion, eighty-four million, six hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 24071 48142 72213 96284 144426 168497 216639 288852 336994 433278 505491 673988 866556 1010982 1179479 1516473 2021964 2358958 3032946 3538437 4717916 6065892 7076874 10615311 14153748 21230622 42461244 579413041 1158826082 1738239123 2317652164 3476478246 4055891287 5214717369 6952956492 8111782574 10429434738 12167673861 16223565148 20858869476 24335347722 28391239009 36503021583 48670695444 56782478018 73006043166 85173717027 113564956036 146012086332 170347434054 255521151081 340694868108 511042302162 1022084604324