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20145022000 = 245341245671
BaseRepresentation
bin10010110000101111…
…001010010000110000
31220222221102011000221
4102300233022100300
5312224111201000
613130545422424
71312132601365
oct226057122060
956887364027
1020145022000
1185a8381214
123aa263aa14
131b90752a7c
14d9167646c
157cd86561a
hex4b0bca430

20145022000 has 80 divisors (see below), whose sum is σ = 49898931264. Its totient is φ = 7861440000.

The previous prime is 20145021979. The next prime is 20145022019. The reversal of 20145022000 is 22054102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×201450220002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40836 + ... + 204835.

Almost surely, 220145022000 is an apocalyptic number.

20145022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20145022000 is an abundant number, since it is smaller than the sum of its proper divisors (29753909264).

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

20145022000 is a wasteful number, since it uses less digits than its factorization.

20145022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245735 (or 245719 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 20145022000 its reverse (22054102), we get a palindrome (20167076102).

The spelling of 20145022000 in words is "twenty billion, one hundred forty-five million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 41000 82000 245671 491342 982684 1228355 1965368 2456710 3930736 4913420 6141775 9826840 10072511 12283550 19653680 20145022 24567100 30708875 40290044 49134200 50362555 61417750 80580088 98268400 100725110 122835500 161160176 201450220 245671000 251812775 402900440 491342000 503625550 805800880 1007251100 1259063875 2014502200 2518127750 4029004400 5036255500 10072511000 20145022000