Search a number
-
+
22053097920 = 2635718118131
BaseRepresentation
bin10100100010011101…
…111001000111000000
32002220220210110010110
4110202131321013000
5330131043113140
614044150231320
71410332145060
oct244235710700
962826713113
1022053097920
119397442967
124335655540
132105b53489
1410d2c433a0
1589111b380
hex5227791c0

22053097920 has 224 divisors, whose sum is σ = 80467785216. Its totient is φ = 5012582400.

The previous prime is 22053097909. The next prime is 22053097931. The reversal of 22053097920 is 2979035022.

It is an interprime number because it is at equal distance from previous prime (22053097909) and next prime (22053097931).

It is a tau number, because it is divible by the number of its divisors (224).

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, 1207255 + ... + 1225385.

It is an arithmetic number, because the mean of its divisors is an integer number (359231184).

Almost surely, 222053097920 is an apocalyptic number.

22053097920 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 22053097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40233892608).

22053097920 is an abundant number, since it is smaller than the sum of its proper divisors (58414687296).

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

22053097920 is a wasteful number, since it uses less digits than its factorization.

22053097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18339 (or 18329 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 22053097920 in words is "twenty-two billion, fifty-three million, ninety-seven thousand, nine hundred twenty".