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20344743225 = 32523722572
BaseRepresentation
bin10010111100101001…
…000010010100111001
31221111212020001001100
4102330221002110321
5313131223240400
613202442242013
71320106315122
oct227451022471
957455201040
1020344743225
1186a0093784
123b394b6309
131bc2c40201
14daddc5049
157e1167100
hex4bca42539

20344743225 has 81 divisors (see below), whose sum is σ = 37597461447. Its totient is φ = 10516193280.

The previous prime is 20344743169. The next prime is 20344743227. The reversal of 20344743225 is 52234744302.

The square root of 20344743225 is 142635.

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

20344743225 is a `hidden beast` number, since 20 + 344 + 74 + 3 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 713370681 + 19631372544 = 26709^2 + 140112^2 .

It is not a de Polignac number, because 20344743225 - 233 = 11754808633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20344743225.

It is not an unprimeable number, because it can be changed into a prime (20344743227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 79162297 + ... + 79162553.

Almost surely, 220344743225 is an apocalyptic number.

20344743225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20344743225 is the 142635-th square number.

20344743225 is the 71318-th centered octagonal number.

It is an amenable number.

20344743225 is a deficient number, since it is larger than the sum of its proper divisors (17252718222).

20344743225 is an equidigital number, since it uses as much as digits as its factorization.

20344743225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

Multiplying 20344743225 by its sum of digits (36), we get a square (732410756100 = 8558102).

The spelling of 20344743225 in words is "twenty billion, three hundred forty-four million, seven hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 225 257 333 555 771 925 1285 1369 1665 2313 2775 3855 4107 6425 6845 8325 9509 11565 12321 19275 20535 28527 34225 47545 57825 61605 66049 85581 102675 142635 198147 237725 308025 330245 351833 427905 594441 713175 990735 1055499 1651225 1759165 2139525 2443813 2972205 3166497 4953675 5277495 7331439 8795825 12219065 14861025 15832485 21994317 26387475 36657195 61095325 79162425 90421081 109971585 183285975 271263243 452105405 549857925 813789729 1356316215 2260527025 4068948645 6781581075 20344743225