Search a number
-
+
22635237690 = 232513178871283
BaseRepresentation
bin10101000101001010…
…100101000100111010
32011102111012012202200
4111011022211010322
5332324110101230
614222023411030
71430631226422
oct250512450472
964374165680
1022635237690
11966600210a
1244785b3a76
132199637890
14114a29b482
158c72ac160
hex5452a513a

22635237690 has 192 divisors, whose sum is σ = 67234841856. Its totient is φ = 5234006016.

The previous prime is 22635237671. The next prime is 22635237701. The reversal of 22635237690 is 9673253622.

22635237690 is a `hidden beast` number, since 2 + 2 + 63 + 523 + 7 + 69 + 0 = 666.

It is a super-2 number, since 2×226352376902 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17641789 + ... + 17643071.

It is an arithmetic number, because the mean of its divisors is an integer number (350181468).

Almost surely, 222635237690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22635237690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33617420928).

22635237690 is an abundant number, since it is smaller than the sum of its proper divisors (44599604166).

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

22635237690 is a wasteful number, since it uses less digits than its factorization.

22635237690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 22635237690 in words is "twenty-two billion, six hundred thirty-five million, two hundred thirty-seven thousand, six hundred ninety".