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22020301000 = 235327298069
BaseRepresentation
bin10100100000100000…
…110010000011001000
32002211122002012012201
4110200200302003020
5330044144113000
614041015245544
71406453320165
oct244040620310
962748065181
1022020301000
11937a982075
1243266798b4
1320cc10c409
1410cc74706c
1588d2dd96a
hex5208320c8

22020301000 has 64 divisors (see below), whose sum is σ = 51552774000. Its totient is φ = 8803801600.

The previous prime is 22020300979. The next prime is 22020301091. The reversal of 22020301000 is 10302022.

It can be written as a sum of positive squares in 8 ways, for example, as 254019844 + 21766281156 = 15938^2 + 147534^2 .

It is a super-2 number, since 2×220203010002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 2724966 + ... + 2733034.

Almost surely, 222020301000 is an apocalyptic number.

22020301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22020301000 is an abundant number, since it is smaller than the sum of its proper divisors (29532473000).

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

22020301000 is a wasteful number, since it uses less digits than its factorization.

22020301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10819 (or 10805 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 22020301000 its reverse (10302022), we get a palindrome (22030603022).

The spelling of 22020301000 in words is "twenty-two billion, twenty million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2729 5458 8069 10916 13645 16138 21832 27290 32276 40345 54580 64552 68225 80690 109160 136450 161380 201725 272900 322760 341125 403450 545800 682250 806900 1008625 1364500 1613800 2017250 2729000 4034500 8069000 22020301 44040602 88081204 110101505 176162408 220203010 440406020 550507525 880812040 1101015050 2202030100 2752537625 4404060200 5505075250 11010150500 22020301000