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2231213712 = 243713239293
BaseRepresentation
bin1000010011111101…
…1001111010010000
312202111102101210220
42010333121322100
514032142314322
61005222353040
7106202001150
oct20477317220
95674371726
102231213712
11a45509982
1252328b780
1329733cc00
14172484760
15d0d3555c
hex84fd9e90

2231213712 has 120 divisors (see below), whose sum is σ = 7133275584. Its totient is φ = 588436992.

The previous prime is 2231213659. The next prime is 2231213729. The reversal of 2231213712 is 2173121322.

It is a happy number.

2231213712 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 super-3 number, since 3×22312137123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 37138 + ... + 76430.

Almost surely, 22231213712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231213712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566637792).

2231213712 is an abundant number, since it is smaller than the sum of its proper divisors (4902061872).

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

2231213712 is a wasteful number, since it uses less digits than its factorization.

2231213712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39337 (or 39318 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 2231213712 is about 47235.7249547416. The cubic root of 2231213712 is about 1306.7135365436.

The spelling of 2231213712 in words is "two billion, two hundred thirty-one million, two hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2704 3549 4056 4368 4732 7098 8112 9464 14196 18928 28392 39293 56784 78586 117879 157172 235758 275051 314344 471516 510809 550102 628688 825153 943032 1021618 1100204 1532427 1650306 1886064 2043236 2200408 3064854 3300612 3575663 4086472 4400816 6129708 6601224 6640517 7151326 8172944 10726989 12259416 13202448 13281034 14302652 19921551 21453978 24518832 26562068 28605304 39843102 42907956 46483619 53124136 57210608 79686204 85815912 92967238 106248272 139450857 159372408 171631824 185934476 278901714 318744816 371868952 557803428 743737904 1115606856 2231213712