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1066022500 = 22546532
BaseRepresentation
bin111111100010100…
…011011001100100
32202021220112221211
4333202203121210
54140400210000
6253440321204
735263020214
oct7742433144
92667815854
101066022500
114a7818534
12259013204
1313cb1545a
14a1816244
15638c37ba
hex3f8a3664

1066022500 has 45 divisors (see below), whose sum is σ = 2334753421. Its totient is φ = 425756000.

The previous prime is 1066022483. The next prime is 1066022501. The reversal of 1066022500 is 52206601.

The square root of 1066022500 is 32650.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1015441956 + 50580544 = 31866^2 + 7112^2 .

It is a super-2 number, since 2×10660225002 = 2272807941012500000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1066022501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1632174 + ... + 1632826.

Almost surely, 21066022500 is an apocalyptic number.

1066022500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1066022500 is the 32650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066022500

1066022500 is an abundant number, since it is smaller than the sum of its proper divisors (1268730921).

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

1066022500 is an frugal number, since it uses more digits than its factorization.

1066022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The cubic root of 1066022500 is about 1021.5401888602.

The spelling of 1066022500 in words is "one billion, sixty-six million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 653 1250 1306 2500 2612 3265 6530 13060 16325 32650 65300 81625 163250 326500 408125 426409 816250 852818 1632500 1705636 2132045 4264090 8528180 10660225 21320450 42640900 53301125 106602250 213204500 266505625 533011250 1066022500