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2231311020 = 2235412713347
BaseRepresentation
bin1000010011111111…
…0001101010101100
312202111121100021220
42010333301222230
514032203423040
61005224423340
7106202554641
oct20477615254
95674540256
102231311020
11a45575aa4
12523317b50
132973752a3
141724abdc8
15d0d542d0
hex84ff1aac

2231311020 has 96 divisors (see below), whose sum is σ = 6425588736. Its totient is φ = 578188800.

The previous prime is 2231311001. The next prime is 2231311031. The reversal of 2231311020 is 201131322.

It is a super-3 number, since 3×22313110203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664987 + ... + 668333.

It is an arithmetic number, because the mean of its divisors is an integer number (66933216).

Almost surely, 22231311020 is an apocalyptic number.

2231311020 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 2231311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212794368).

2231311020 is an abundant number, since it is smaller than the sum of its proper divisors (4194277716).

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

2231311020 is a wasteful number, since it uses less digits than its factorization.

2231311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2231311020 is about 47236.7549689858. The cubic root of 2231311020 is about 1306.7325324577.

Adding to 2231311020 its reverse (201131322), we get a palindrome (2432442342).

It can be divided in two parts, 22313 and 11020, that added together give a palindrome (33333).

The spelling of 2231311020 in words is "two billion, two hundred thirty-one million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 271 410 492 542 615 813 820 1084 1230 1355 1626 2460 2710 3252 3347 4065 5420 6694 8130 10041 11111 13388 16260 16735 20082 22222 33333 33470 40164 44444 50205 55555 66666 66940 100410 111110 133332 137227 166665 200820 222220 274454 333330 411681 548908 666660 686135 823362 907037 1372270 1646724 1814074 2058405 2721111 2744540 3628148 4116810 4535185 5442222 8233620 9070370 10884444 13605555 18140740 27211110 37188517 54422220 74377034 111565551 148754068 185942585 223131102 371885170 446262204 557827755 743770340 1115655510 2231311020