Search a number
-
+
222861808343040 = 21135191075236823
BaseRepresentation
bin110010101011000100001110…
…111010111001100000000000
31002020002101021121101022020020
4302223010032322321200000
5213202331440413434130
62105553145032213440
764641143240030406
oct6253041672714000
91066071247338206
10222861808343040
11650131868a58a9
1220bb414083a280
139747a17062199
143d067d7795476
151ab723159ce10
hexcab10eeb9800

222861808343040 has 768 divisors, whose sum is σ = 759082893004800. Its totient is φ = 55660939444224.

The previous prime is 222861808342997. The next prime is 222861808343077. The reversal of 222861808343040 is 40343808168222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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, 32663313069 + ... + 32663319891.

It is an arithmetic number, because the mean of its divisors is an integer number (988389183600).

Almost surely, 2222861808343040 is an apocalyptic number.

222861808343040 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 222861808343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379541446502400).

222861808343040 is an abundant number, since it is smaller than the sum of its proper divisors (536221084661760).

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

222861808343040 is a wasteful number, since it uses less digits than its factorization.

222861808343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7502 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 222861808343040 in words is "two hundred twenty-two trillion, eight hundred sixty-one billion, eight hundred eight million, three hundred forty-three thousand, forty".