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2243131020 = 22325131635881
BaseRepresentation
bin1000010110110011…
…0111011010001100
312210022211212021200
42011230313122030
514043220143040
61010330025500
7106405204404
oct20554673214
95708755250
102243131020
11a51209599
12527278290
13299953380
14173ca7804
15d1ddb630
hex85b3768c

2243131020 has 144 divisors (see below), whose sum is σ = 7373769312. Its totient is φ = 548674560.

The previous prime is 2243130997. The next prime is 2243131057. The reversal of 2243131020 is 201313422.

2243131020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 2243130984 and 2243131002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378480 + ... + 384360.

Almost surely, 22243131020 is an apocalyptic number.

2243131020 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 2243131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686884656).

2243131020 is an abundant number, since it is smaller than the sum of its proper divisors (5130638292).

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

2243131020 is a wasteful number, since it uses less digits than its factorization.

2243131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2243131020 is about 47361.7041500831. The cubic root of 2243131020 is about 1309.0358696609.

Adding to 2243131020 its reverse (201313422), we get a palindrome (2444444442).

The spelling of 2243131020 in words is "two billion, two hundred forty-three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 163 180 195 234 260 326 390 468 489 585 652 780 815 978 1170 1467 1630 1956 2119 2340 2445 2934 3260 4238 4890 5868 5881 6357 7335 8476 9780 10595 11762 12714 14670 17643 19071 21190 23524 25428 29340 29405 31785 35286 38142 42380 52929 58810 63570 70572 76284 76453 88215 95355 105858 117620 127140 152906 176430 190710 211716 229359 264645 305812 352860 381420 382265 458718 529290 688077 764530 917436 958603 1058580 1146795 1376154 1529060 1917206 2293590 2752308 2875809 3440385 3834412 4587180 4793015 5751618 6880770 8627427 9586030 11503236 12461839 13761540 14379045 17254854 19172060 24923678 28758090 34509708 37385517 43137135 49847356 57516180 62309195 74771034 86274270 112156551 124618390 149542068 172548540 186927585 224313102 249236780 373855170 448626204 560782755 747710340 1121565510 2243131020