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140223227020800 = 293527112191032203
BaseRepresentation
bin11111111000100001000011…
…101000101100011000000000
3200101111012122210021010200020
4133320201003220230120000
5121334404132104131200
61214121354452453440
741351536166456640
oct3770410350543000
9611435583233606
10140223227020800
114075237804aa00
121388824b01a280
136031cbbb46c61
14268abaa0b4520
1511327dbb65ea0
hex7f8843a2c600

140223227020800 has 2880 divisors, whose sum is σ = 618748090920960. Its totient is φ = 27323346124800.

The previous prime is 140223227020783. The next prime is 140223227020843. The reversal of 140223227020800 is 8020722322041.

It is a super-2 number, since 2×1402232270208002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63651032499 + ... + 63651034701.

Almost surely, 2140223227020800 is an apocalyptic number.

140223227020800 is a gapful number since it is divisible by the number (10) 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 140223227020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309374045460480).

140223227020800 is an abundant number, since it is smaller than the sum of its proper divisors (478524863900160).

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

140223227020800 is a wasteful number, since it uses less digits than its factorization.

140223227020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 140223227020800 its reverse (8020722322041), we get a palindrome (148243949342841).

The spelling of 140223227020800 in words is "one hundred forty trillion, two hundred twenty-three billion, two hundred twenty-seven million, twenty thousand, eight hundred".