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2234032020 = 22325111128299
BaseRepresentation
bin1000010100101000…
…1001111110010100
312202200201120210200
42011022021332110
514033403011040
61005403020500
7106234646613
oct20512117624
95680646720
102234032020
11a47064360
1252420a730
13297ab894c
141729b987a
15d11e0630
hex85289f94

2234032020 has 72 divisors (see below), whose sum is σ = 7392621600. Its totient is φ = 541583040.

The previous prime is 2234032007. The next prime is 2234032061. The reversal of 2234032020 is 202304322.

2234032020 is a `hidden beast` number, since 2 + 2 + 340 + 320 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2234031984 and 2234032002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562170 + ... + 566129.

It is an arithmetic number, because the mean of its divisors is an integer number (102675300).

Almost surely, 22234032020 is an apocalyptic number.

2234032020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234032020 is an abundant number, since it is smaller than the sum of its proper divisors (5158589580).

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

2234032020 is a wasteful number, since it uses less digits than its factorization.

2234032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128325 (or 1128320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2234032020 is about 47265.5479181190. The cubic root of 2234032020 is about 1307.2634871077.

Adding to 2234032020 its reverse (202304322), we get a palindrome (2436336342).

The spelling of 2234032020 in words is "two billion, two hundred thirty-four million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1128299 2256598 3384897 4513196 5641495 6769794 10154691 11282990 12411289 13539588 16924485 20309382 22565980 24822578 33848970 37233867 40618764 49645156 50773455 62056445 67697940 74467734 101546910 111701601 124112890 148935468 186169335 203093820 223403202 248225780 372338670 446806404 558508005 744677340 1117016010 2234032020