Search a number
-
+
22935380500 = 2253229383523
BaseRepresentation
bin10101010111000011…
…100010001000010100
32012012101222001022001
4111113003202020110
5333432424134000
614311504445044
71441234342354
oct252703421024
965171861261
1022935380500
1197aa47391a
124541019784
132216885686
1411780aab64
158e37e846a
hex5570e2214

22935380500 has 96 divisors (see below), whose sum is σ = 50537410560. Its totient is φ = 9092822400.

The previous prime is 22935380471. The next prime is 22935380551. The reversal of 22935380500 is 508353922.

It is a self number, because there is not a number n which added to its sum of digits gives 22935380500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43853239 + ... + 43853761.

It is an arithmetic number, because the mean of its divisors is an integer number (526431360).

Almost surely, 222935380500 is an apocalyptic number.

22935380500 is a gapful number since it is divisible by the number (20) 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 22935380500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25268705280).

22935380500 is an abundant number, since it is smaller than the sum of its proper divisors (27602030060).

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

22935380500 is a wasteful number, since it uses less digits than its factorization.

22935380500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 22935380500 in words is "twenty-two billion, nine hundred thirty-five million, three hundred eighty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 229 250 383 458 500 523 766 916 1046 1145 1532 1915 2092 2290 2615 3830 4580 5230 5725 7660 9575 10460 11450 13075 19150 22900 26150 28625 38300 47875 52300 57250 65375 87707 95750 114500 119767 130750 175414 191500 200309 239534 261500 350828 400618 438535 479068 598835 801236 877070 1001545 1197670 1754140 2003090 2192675 2395340 2994175 4006180 4385350 5007725 5988350 8770700 10015450 10963375 11976700 14970875 20030900 21926750 25038625 29941750 43853500 45870761 50077250 59883500 91741522 100154500 183483044 229353805 458707610 917415220 1146769025 2293538050 4587076100 5733845125 11467690250 22935380500