Search a number
-
+
22300111020 = 223511312574241
BaseRepresentation
bin10100110001001100…
…001011000010101100
32010120010121000101210
4110301030023002230
5331132312023040
614124452434420
71416421546635
oct246114130254
963503530353
1022300111020
119503916520
1243a4318a10
13214508b485
14111798288c
158a7b60480
hex53130b0ac

22300111020 has 192 divisors, whose sum is σ = 70604255232. Its totient is φ = 5210112000.

The previous prime is 22300111003. The next prime is 22300111037. The reversal of 22300111020 is 2011100322.

It is an interprime number because it is at equal distance from previous prime (22300111003) and next prime (22300111037).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22300110987 and 22300111005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5256100 + ... + 5260340.

It is an arithmetic number, because the mean of its divisors is an integer number (367730496).

Almost surely, 222300111020 is an apocalyptic number.

22300111020 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 22300111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35302127616).

22300111020 is an abundant number, since it is smaller than the sum of its proper divisors (48304144212).

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

22300111020 is a wasteful number, since it uses less digits than its factorization.

22300111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22300111020 its reverse (2011100322), we get a palindrome (24311211342).

The spelling of 22300111020 in words is "twenty-two billion, three hundred million, one hundred eleven thousand, twenty".