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2022030120 = 2335111937937
BaseRepresentation
bin111100010000101…
…1011101100101000
312012220210202212110
41320201123230220
513120114430440
6532351042320
7101051654355
oct17041335450
95186722773
102022030120
11948424180
124852103a0
13262bbb836
1415279162c
15bc7b5080
hex7885bb28

2022030120 has 128 divisors (see below), whose sum is σ = 6652679040. Its totient is φ = 487587840.

The previous prime is 2022030107. The next prime is 2022030137. The reversal of 2022030120 is 210302202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2022030096 and 2022030105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250792 + ... + 258728.

It is an arithmetic number, because the mean of its divisors is an integer number (51974055).

Almost surely, 22022030120 is an apocalyptic number.

2022030120 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 2022030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326339520).

2022030120 is an abundant number, since it is smaller than the sum of its proper divisors (4630648920).

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

2022030120 is a wasteful number, since it uses less digits than its factorization.

2022030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2022030120 is about 44966.9892254307. The cubic root of 2022030120 is about 1264.5302030469.

Adding to 2022030120 its reverse (210302202), we get a palindrome (2232332322).

The spelling of 2022030120 in words is "two billion, twenty-two million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 193 220 264 330 386 440 579 660 772 965 1158 1320 1544 1930 2123 2316 2895 3860 4246 4632 5790 6369 7720 7937 8492 10615 11580 12738 15874 16984 21230 23160 23811 25476 31748 31845 39685 42460 47622 50952 63496 63690 79370 84920 87307 95244 119055 127380 158740 174614 190488 238110 254760 261921 317480 349228 436535 476220 523842 698456 873070 952440 1047684 1309605 1531841 1746140 2095368 2619210 3063682 3492280 4595523 5238420 6127364 7659205 9191046 10476840 12254728 15318410 16850251 18382092 22977615 30636820 33700502 36764184 45955230 50550753 61273640 67401004 84251255 91910460 101101506 134802008 168502510 183820920 202203012 252753765 337005020 404406024 505507530 674010040 1011015060 2022030120