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20032033000 = 235372408817
BaseRepresentation
bin10010101010000000…
…001001000011101000
31220201001210201021011
4102222000021003220
5312011200024000
613111431553304
71306261320400
oct225200110350
956631721234
1020032033000
11854a618981
123a7082b834
131b73212085
14d80663800
157c39972ba
hex4aa0090e8

20032033000 has 96 divisors (see below), whose sum is σ = 54528144840. Its totient is φ = 6868108800.

The previous prime is 20032032991. The next prime is 20032033009. The reversal of 20032033000 is 33023002.

It is an interprime number because it is at equal distance from previous prime (20032032991) and next prime (20032033009).

It can be written as a sum of positive squares in 4 ways, for example, as 5901005124 + 14131027876 = 76818^2 + 118874^2 .

It is a super-2 number, since 2×200320330002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20032033009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155409 + ... + 253408.

Almost surely, 220032033000 is an apocalyptic number.

20032033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20032033000 is an abundant number, since it is smaller than the sum of its proper divisors (34496111840).

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

20032033000 is a wasteful number, since it uses less digits than its factorization.

20032033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408852 (or 408831 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

Adding to 20032033000 its reverse (33023002), we get a palindrome (20065056002).

The spelling of 20032033000 in words is "twenty billion, thirty-two million, thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 408817 817634 1635268 2044085 2861719 3270536 4088170 5723438 8176340 10220425 11446876 14308595 16352680 20032033 20440850 22893752 28617190 40064066 40881700 51102125 57234380 71542975 80128132 81763400 100160165 102204250 114468760 143085950 160256264 200320330 204408500 286171900 357714875 400640660 408817000 500800825 572343800 715429750 801281320 1001601650 1430859500 2003203300 2504004125 2861719000 4006406600 5008008250 10016016500 20032033000