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20225267000 = 235329697423
BaseRepresentation
bin10010110101100001…
…010001010100111000
31221012112102000110222
4102311201101110320
5312410132021000
613142533355212
71314125635001
oct226541212470
957175360428
1020225267000
1186396aa4a4
123b05498b08
131ba426a813
14d9c1a41a8
157d5916a85
hex4b5851538

20225267000 has 64 divisors (see below), whose sum is σ = 48959164800. Its totient is φ = 7811126400.

The previous prime is 20225266991. The next prime is 20225267011. The reversal of 20225267000 is 76252202.

It is a super-2 number, since 2×202252670002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319712 + ... + 377711.

It is an arithmetic number, because the mean of its divisors is an integer number (764986950).

Almost surely, 220225267000 is an apocalyptic number.

20225267000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20225267000 is an abundant number, since it is smaller than the sum of its proper divisors (28733897800).

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

20225267000 is a wasteful number, since it uses less digits than its factorization.

20225267000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697473 (or 697459 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The spelling of 20225267000 in words is "twenty billion, two hundred twenty-five million, two hundred sixty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 697423 1394846 2789692 3487115 5579384 6974230 13948460 17435575 20225267 27896920 34871150 40450534 69742300 80901068 87177875 101126335 139484600 161802136 174355750 202252670 348711500 404505340 505631675 697423000 809010680 1011263350 2022526700 2528158375 4045053400 5056316750 10112633500 20225267000