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190220400000 = 27355519103
BaseRepresentation
bin1011000100101000000…
…1001111010110000000
3200011222210020112100000
42301022001033112000
511104032410300000
6223215215200000
716512560502441
oct2611201172600
9604883215300
10190220400000
1173743502a54
1230a48516000
1314c261ac507
1492c73312c8
154e34b00000
hex2c4a04f580

190220400000 has 1152 divisors, whose sum is σ = 754114233600. Its totient is φ = 47589120000.

The previous prime is 190220399989. The next prime is 190220400023. The reversal of 190220400000 is 4022091.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1846799949 + ... + 1846800051.

It is an arithmetic number, because the mean of its divisors is an integer number (654613050).

Almost surely, 2190220400000 is an apocalyptic number.

190220400000 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 190220400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377057116800).

190220400000 is an abundant number, since it is smaller than the sum of its proper divisors (563893833600).

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

190220400000 is an frugal number, since it uses more digits than its factorization.

190220400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 190220400000 its reverse (4022091), we get a palindrome (190224422091).

The spelling of 190220400000 in words is "one hundred ninety billion, two hundred twenty million, four hundred thousand".