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2234338020 = 223453144491
BaseRepresentation
bin1000010100101101…
…0100101011100100
312202201022010120000
42011023110223210
514033442304040
61005413341300
7106240363005
oct20513245344
95681263500
102234338020
11a47253252
12524337830
13297b95005
14172a591ac
15d1251130
hex852d4ae4

2234338020 has 120 divisors (see below), whose sum is σ = 7235467008. Its totient is φ = 576590400.

The previous prime is 2234337983. The next prime is 2234338021. The reversal of 2234338020 is 208334322.

2234338020 is a `hidden beast` number, since 223 + 43 + 380 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2234338021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27975 + ... + 72465.

Almost surely, 22234338020 is an apocalyptic number.

2234338020 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 2234338020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617733504).

2234338020 is an abundant number, since it is smaller than the sum of its proper divisors (5001128988).

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

2234338020 is a wasteful number, since it uses less digits than its factorization.

2234338020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44543 (or 44532 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2234338020 is about 47268.7848373533. The cubic root of 2234338020 is about 1307.3231705799.

The spelling of 2234338020 in words is "two billion, two hundred thirty-four million, three hundred thirty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2511 2790 3348 4185 5022 5580 8370 10044 12555 16740 25110 44491 50220 88982 133473 177964 222455 266946 400419 444910 533892 667365 800838 889820 1201257 1334730 1379221 1601676 2002095 2402514 2669460 2758442 3603771 4004190 4137663 4805028 5516884 6006285 6896105 7207542 8008380 8275326 12012570 12412989 13792210 14415084 16550652 18018855 20688315 24025140 24825978 27584420 36037710 37238967 41376630 49651956 62064945 72075420 74477934 82753260 111716901 124129890 148955868 186194835 223433802 248259780 372389670 446867604 558584505 744779340 1117169010 2234338020