Search a number
-
+
252221004 = 223272934513
BaseRepresentation
bin11110000100010…
…01011001001100
3122120121011011200
433002021121030
51004032033004
641005545500
76151562130
oct1702113114
9576534150
10252221004
1111a410412
1270575290
134033c5c9
14256d73c0
1517222239
hexf08964c

252221004 has 72 divisors (see below), whose sum is σ = 753785760. Its totient is φ = 69576192.

The previous prime is 252220999. The next prime is 252221023. The reversal of 252221004 is 400122252.

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

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, 9949 + ... + 24564.

Almost surely, 2252221004 is an apocalyptic number.

It is an amenable number.

252221004 is an abundant number, since it is smaller than the sum of its proper divisors (501564756).

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

252221004 is a wasteful number, since it uses less digits than its factorization.

252221004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34559 (or 34554 counting only the distinct ones).

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

The square root of 252221004 is about 15881.4673125628. The cubic root of 252221004 is about 631.8205540587.

Adding to 252221004 its reverse (400122252), we get a palindrome (652343256).

The spelling of 252221004 in words is "two hundred fifty-two million, two hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 34513 69026 103539 138052 207078 241591 310617 414156 483182 621234 724773 966364 1000877 1242468 1449546 2001754 2174319 2899092 3002631 4003508 4348638 6005262 7006139 8697276 9007893 12010524 14012278 18015786 21018417 28024556 36031572 42036834 63055251 84073668 126110502 252221004