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9780221025 = 32521923472
BaseRepresentation
bin10010001101111001…
…00101010001100001
3221020121012201001100
421012330211101201
5130012214033100
64254252025013
7464235335631
oct110674452141
927217181040
109780221025
1141697528a3
121a8b462169
13bcb2c9543
1468acb26c1
153c3948400
hex246f25461

9780221025 has 81 divisors (see below), whose sum is σ = 18541392051. Its totient is φ = 4927344480.

The previous prime is 9780220999. The next prime is 9780221027. The reversal of 9780221025 is 5201220879.

The square root of 9780221025 is 98895.

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

It can be written as a sum of positive squares in only one way, i.e., 3520879569 + 6259341456 = 59337^2 + 79116^2 .

It is not a de Polignac number, because 9780221025 - 25 = 9780220993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9780221027) 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, 28184902 + ... + 28185248.

Almost surely, 29780221025 is an apocalyptic number.

9780221025 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9780221025 is the 98895-th square number.

9780221025 is the 49448-th centered octagonal number.

It is an amenable number.

9780221025 is a deficient number, since it is larger than the sum of its proper divisors (8761171026).

9780221025 is a wasteful number, since it uses less digits than its factorization.

9780221025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 9780221025 is about 2138.5343142401.

Multiplying 9780221025 by its sum of digits (36), we get a square (352087956900 = 5933702).

The spelling of 9780221025 in words is "nine billion, seven hundred eighty million, two hundred twenty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 347 361 475 855 1041 1083 1425 1735 1805 3123 3249 4275 5205 5415 6593 8675 9025 15615 16245 19779 26025 27075 32965 59337 78075 81225 98895 120409 125267 164825 296685 361227 375801 494475 602045 626335 1083681 1127403 1483425 1806135 1879005 2287771 3010225 3131675 5418405 5637015 6863313 9030675 9395025 11438855 20589939 27092025 28185075 34316565 43467649 57194275 102949695 130402947 171582825 217338245 391208841 514748475 652014735 1086691225 1956044205 3260073675 9780221025