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20032522200 = 23325271156749
BaseRepresentation
bin10010101010000010…
…000000011111011000
31220201002201120022200
4102222002000133120
5312011311202300
613111450250200
71306265425545
oct225202003730
956632646280
1020032522200
11854a922479
123a70a26960
131b73353942
14d8074dbcc
157c3a42200
hex4aa0807d8

20032522200 has 144 divisors (see below), whose sum is σ = 68223870000. Its totient is φ = 5266732800.

The previous prime is 20032522199. The next prime is 20032522331. The reversal of 20032522200 is 222523002.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49426 + ... + 206174.

It is an arithmetic number, because the mean of its divisors is an integer number (473776875).

Almost surely, 220032522200 is an apocalyptic number.

20032522200 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 20032522200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34111935000).

20032522200 is an abundant number, since it is smaller than the sum of its proper divisors (48191347800).

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

20032522200 is a wasteful number, since it uses less digits than its factorization.

20032522200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156842 (or 156830 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The spelling of 20032522200 in words is "twenty billion, thirty-two million, five hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 71 72 75 90 100 120 142 150 180 200 213 225 284 300 355 360 426 450 568 600 639 710 852 900 1065 1278 1420 1704 1775 1800 2130 2556 2840 3195 3550 4260 5112 5325 6390 7100 8520 10650 12780 14200 15975 21300 25560 31950 42600 63900 127800 156749 313498 470247 626996 783745 940494 1253992 1410741 1567490 1880988 2351235 2821482 3134980 3761976 3918725 4702470 5642964 6269960 7053705 7837450 9404940 11129179 11285928 11756175 14107410 15674900 18809880 22258358 23512350 28214820 31349800 33387537 35268525 44516716 47024700 55645895 56429640 66775074 70537050 89033432 94049400 100162611 111291790 133550148 141074100 166937685 200325222 222583580 267100296 278229475 282148200 333875370 400650444 445167160 500813055 556458950 667750740 801300888 834688425 1001626110 1112917900 1335501480 1669376850 2003252220 2225835800 2504065275 3338753700 4006504440 5008130550 6677507400 10016261100 20032522200