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222022295040 = 29357131072969
BaseRepresentation
bin1100111011000110001…
…1110101111000000000
3210020002010010012000110
43032301203311320000
512114200201420130
6245555020151320
722016630240550
oct3166143657000
9706063105013
10222022295040
1186182885437
1237042998540
1317c239790a0
14aa62bc7160
155b96a08ab0
hex33b18f5e00

222022295040 has 640 divisors, whose sum is σ = 882033546240. Its totient is φ = 46390837248.

The previous prime is 222022295029. The next prime is 222022295123. The reversal of 222022295040 is 40592220222.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 222022294989 and 222022295007.

It is a congruent number.

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, 74778676 + ... + 74781644.

It is an arithmetic number, because the mean of its divisors is an integer number (1378177416).

Almost surely, 2222022295040 is an apocalyptic number.

222022295040 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 222022295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441016773120).

222022295040 is an abundant number, since it is smaller than the sum of its proper divisors (660011251200).

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

222022295040 is a wasteful number, since it uses less digits than its factorization.

222022295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 222022295040 in words is "two hundred twenty-two billion, twenty-two million, two hundred ninety-five thousand, forty".