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10572224 = 261397131
BaseRepresentation
bin101000010101…
…000111000000
3201220010100212
4220111013000
510201302344
61014333252
7155601545
oct50250700
921803325
1010572224
115a71083
12365a228
132262170
141592bcc
15ddc79e
hexa151c0

10572224 has 56 divisors (see below), whose sum is σ = 23000208. Its totient is φ = 4792320.

The previous prime is 10572217. The next prime is 10572251. The reversal of 10572224 is 42227501.

It is a happy number.

It is a super-3 number, since 3×105722243 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10572224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80639 + ... + 80769.

It is an arithmetic number, because the mean of its divisors is an integer number (410718).

Almost surely, 210572224 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 10572224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11500104).

10572224 is an abundant number, since it is smaller than the sum of its proper divisors (12427984).

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

10572224 is a wasteful number, since it uses less digits than its factorization.

10572224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 10572224 is about 3251.4956558482. The cubic root of 10572224 is about 219.4768838417.

Adding to 10572224 its reverse (42227501), we get a palindrome (52799725).

The spelling of 10572224 in words is "ten million, five hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 131 194 208 262 388 416 524 776 832 1048 1261 1552 1703 2096 2522 3104 3406 4192 5044 6208 6812 8384 10088 12707 13624 20176 25414 27248 40352 50828 54496 80704 101656 108992 165191 203312 330382 406624 660764 813248 1321528 2643056 5286112 10572224