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221501030528 = 2717224472
BaseRepresentation
bin1100111001001001111…
…1011000000010000000
3210011201210021012112102
43032102133120002000
512112113230434103
6245431155445532
722001000460131
oct3162237300200
9704653235472
10221501030528
1185a35614718
1236b182b68a8
1317b6c98a14b
14aa13897c88
155b65d8ee88
hex33927d8080

221501030528 has 72 divisors (see below), whose sum is σ = 468947269245. Its totient is φ = 104193181696.

The previous prime is 221501030521. The next prime is 221501030537. The reversal of 221501030528 is 825030105122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 202723261504 + 18777769024 = 450248^2 + 137032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332792.

It is a self number, because there is not a number n which added to its sum of digits gives 221501030528.

It is not an unprimeable number, because it can be changed into a prime (221501030521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90518201 + ... + 90520647.

Almost surely, 2221501030528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221501030528

221501030528 is an abundant number, since it is smaller than the sum of its proper divisors (247446238717).

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

221501030528 is an frugal number, since it uses more digits than its factorization.

221501030528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 221501030528 in words is "two hundred twenty-one billion, five hundred one million, thirty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 2176 2312 2447 4624 4894 9248 9788 18496 19576 36992 39152 41599 78304 83198 156608 166396 313216 332792 665584 707183 1331168 1414366 2662336 2828732 5324672 5657464 5987809 11314928 11975618 22629856 23951236 45259712 47902472 90519424 95804944 101792753 191609888 203585506 383219776 407171012 766439552 814342024 1628684048 1730476801 3257368096 3460953602 6514736192 6921907204 13029472384 13843814408 27687628816 55375257632 110750515264 221501030528