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22401011140 = 2252938622433
BaseRepresentation
bin10100110111001101…
…000100110111000100
32010211011110021100021
4110313031010313010
5331334124324030
614142455224524
71422055311244
oct246715046704
963734407307
1022401011140
119555872252
124412078144
13215cc588a1
141127129b24
158b194197a
hex537344dc4

22401011140 has 24 divisors (see below), whose sum is σ = 48664266840. Its totient is φ = 8651424768.

The previous prime is 22401011131. The next prime is 22401011147. The reversal of 22401011140 is 4111010422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9234825604 + 13166185536 = 96098^2 + 114744^2 .

It is not an unprimeable number, because it can be changed into a prime (22401011147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19310637 + ... + 19311796.

It is an arithmetic number, because the mean of its divisors is an integer number (2027677785).

Almost surely, 222401011140 is an apocalyptic number.

22401011140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22401011140 is an abundant number, since it is smaller than the sum of its proper divisors (26263255700).

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

22401011140 is a wasteful number, since it uses less digits than its factorization.

22401011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38622471 (or 38622469 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22401011140 its reverse (4111010422), we get a palindrome (26512021562).

The spelling of 22401011140 in words is "twenty-two billion, four hundred one million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 38622433 77244866 154489732 193112165 386224330 772448660 1120050557 2240101114 4480202228 5600252785 11200505570 22401011140