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25221042 = 23271131587
BaseRepresentation
bin110000000110…
…1011110110010
31202110100202200
41200031132302
522424033132
62300324030
7424242510
oct140153662
952410680
1025221042
1113266a40
128543616
1352c09c2
1434c74b0
152332d7c
hex180d7b2

25221042 has 96 divisors (see below), whose sum is σ = 70447104. Its totient is φ = 6328800.

The previous prime is 25221023. The next prime is 25221043. The reversal of 25221042 is 24012252.

It is a super-2 number, since 2×252210422 = 1272201919131528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25221043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42673 + ... + 43259.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 225221042 is an apocalyptic number.

25221042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25221042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552).

25221042 is an abundant number, since it is smaller than the sum of its proper divisors (45226062).

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

25221042 is a wasteful number, since it uses less digits than its factorization.

25221042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 641 counting only the distinct ones).

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

The square root of 25221042 is about 5022.0555552483. The cubic root of 25221042 is about 293.2610206850.

Adding to 25221042 its reverse (24012252), we get a palindrome (49233294).

It can be divided in two parts, 252210 and 42, that added together give a palindrome (252252).

The spelling of 25221042 in words is "twenty-five million, two hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 62 63 66 77 93 99 126 154 186 198 217 231 279 341 434 462 558 587 651 682 693 1023 1174 1302 1386 1761 1953 2046 2387 3069 3522 3906 4109 4774 5283 6138 6457 7161 8218 10566 12327 12914 14322 18197 19371 21483 24654 36394 36981 38742 42966 45199 54591 58113 73962 90398 109182 116226 127379 135597 163773 200167 254758 271194 327546 382137 400334 406791 600501 764274 813582 1146411 1201002 1401169 1801503 2292822 2802338 3603006 4203507 8407014 12610521 25221042