Search a number
-
+
23220552240 = 2432588136607
BaseRepresentation
bin10101101000000011…
…011000001000110000
32012221021120021101100
4111220003120020300
5340023430132430
614400053004400
71451266303014
oct255003301060
965837507340
1023220552240
11993643a646
124600623700
132260991052
1411a3d00544
1590d878960
hex5680d8230

23220552240 has 120 divisors (see below), whose sum is σ = 78073003008. Its totient is φ = 6184949760.

The previous prime is 23220552227. The next prime is 23220552247. The reversal of 23220552240 is 4225502232.

23220552240 is a `hidden beast` number, since 232 + 205 + 5 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (23220552247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616017 + ... + 652623.

Almost surely, 223220552240 is an apocalyptic number.

23220552240 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 23220552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39036501504).

23220552240 is an abundant number, since it is smaller than the sum of its proper divisors (54852450768).

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

23220552240 is a wasteful number, since it uses less digits than its factorization.

23220552240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37507 (or 37498 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 23220552240 in words is "twenty-three billion, two hundred twenty million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 881 1762 2643 3524 4405 5286 7048 7929 8810 10572 13215 14096 15858 17620 21144 26430 31716 35240 36607 39645 42288 52860 63432 70480 73214 79290 105720 109821 126864 146428 158580 183035 211440 219642 292856 317160 329463 366070 439284 549105 585712 634320 658926 732140 878568 1098210 1317852 1464280 1647315 1757136 2196420 2635704 2928560 3294630 4392840 5271408 6589260 8785680 13178520 26357040 32250767 64501534 96752301 129003068 161253835 193504602 258006136 290256903 322507670 387009204 483761505 516012272 580513806 645015340 774018408 967523010 1161027612 1290030680 1451284515 1548036816 1935046020 2322055224 2580061360 2902569030 3870092040 4644110448 5805138060 7740184080 11610276120 23220552240