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20125224 = 2332773547
BaseRepresentation
bin100110011000…
…1011000101000
31101212110121200
41030301120220
520123001344
61555204200
7333030060
oct114613050
941773550
1020125224
11103a6419
1268a6660
134228422
14295c3a0
151b78069
hex1331628

20125224 has 96 divisors (see below), whose sum is σ = 63261120. Its totient is φ = 5660928.

The previous prime is 20125177. The next prime is 20125241. The reversal of 20125224 is 42252102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20125197 and 20125206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36519 + ... + 37065.

It is an arithmetic number, because the mean of its divisors is an integer number (658970).

Almost surely, 220125224 is an apocalyptic number.

20125224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20125224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31630560).

20125224 is an abundant number, since it is smaller than the sum of its proper divisors (43135896).

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

20125224 is a wasteful number, since it uses less digits than its factorization.

20125224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20125224 is about 4486.1145772260. The cubic root of 20125224 is about 272.0071004490.

Adding to 20125224 its reverse (42252102), we get a palindrome (62377326).

It can be divided in two parts, 201 and 25224, that added together give a triangular number (25425 = T225).

The spelling of 20125224 in words is "twenty million, one hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 547 584 657 876 1022 1094 1314 1533 1641 1752 2044 2188 2628 3066 3282 3829 4088 4376 4599 4923 5256 6132 6564 7658 9198 9846 11487 12264 13128 15316 18396 19692 22974 30632 34461 36792 39384 39931 45948 68922 79862 91896 119793 137844 159724 239586 275688 279517 319448 359379 479172 559034 718758 838551 958344 1118068 1437516 1677102 2236136 2515653 2875032 3354204 5031306 6708408 10062612 20125224