Search a number
-
+
23004423225 = 345272231841
BaseRepresentation
bin10101011011001010…
…111010010000111001
32012101012212210010000
4111123022322100321
5334103113020400
614322412343213
71443033241200
oct253312722071
965335783100
1023004423225
119835440723
124560174b09
132227c7a564
141183320237
158e98d5600
hex55b2ba439

23004423225 has 90 divisors (see below), whose sum is σ = 49569442494. Its totient is φ = 10516262400.

The previous prime is 23004423209. The next prime is 23004423251. The reversal of 23004423225 is 52232440032.

It is a happy number.

23004423225 is a `hidden beast` number, since 230 + 0 + 4 + 423 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4072864761 + 18931558464 = 63819^2 + 137592^2 .

It is not a de Polignac number, because 23004423225 - 24 = 23004423209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 16696 + ... + 215145.

Almost surely, 223004423225 is an apocalyptic number.

23004423225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23004423225 is an abundant number, since it is smaller than the sum of its proper divisors (26565019269).

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

23004423225 is a wasteful number, since it uses less digits than its factorization.

23004423225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231877 (or 231856 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 23004423225 its reverse (52232440032), we get a palindrome (75236863257).

The spelling of 23004423225 in words is "twenty-three billion, four million, four hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 2025 2205 2835 3675 3969 4725 6615 11025 14175 19845 33075 99225 231841 695523 1159205 1622887 2086569 3477615 4868661 5796025 6259707 8114435 10432845 11360209 14605983 17388075 18779121 24343305 31298535 34080627 40572175 43817949 52164225 56801045 73029915 93895605 102241881 121716525 131453847 156492675 170403135 219089745 284005225 306725643 365149575 469478025 511209405 657269235 852015675 920176929 1095448725 1533628215 2556047025 3286346175 4600884645 7668141075 23004423225