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2232831480 = 23351113712347
BaseRepresentation
bin1000010100010110…
…0100110111111000
312202121110120222020
42011011210313320
514033101101410
61005321154440
7106221516525
oct20505446770
95677416866
102232831480
11a46414380
1252392ba20
13297788379
1417278614c
15d1054a70
hex85164df8

2232831480 has 128 divisors (see below), whose sum is σ = 7361383680. Its totient is φ = 537297920.

The previous prime is 2232831473. The next prime is 2232831533. The reversal of 2232831480 is 841382322.

It is a super-3 number, since 3×22328314803 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174667 + ... + 187013.

It is an arithmetic number, because the mean of its divisors is an integer number (57510810).

Almost surely, 22232831480 is an apocalyptic number.

2232831480 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 2232831480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680691840).

2232831480 is an abundant number, since it is smaller than the sum of its proper divisors (5128552200).

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

2232831480 is a wasteful number, since it uses less digits than its factorization.

2232831480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12509 (or 12505 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2232831480 is about 47252.8462634792. The cubic root of 2232831480 is about 1307.0292763017.

The spelling of 2232831480 in words is "two billion, two hundred thirty-two million, eight hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 137 165 220 264 274 330 411 440 548 660 685 822 1096 1320 1370 1507 1644 2055 2740 3014 3288 4110 4521 5480 6028 7535 8220 9042 12056 12347 15070 16440 18084 22605 24694 30140 36168 37041 45210 49388 60280 61735 74082 90420 98776 123470 135817 148164 180840 185205 246940 271634 296328 370410 407451 493880 543268 679085 740820 814902 1086536 1358170 1481640 1629804 1691539 2037255 2716340 3259608 3383078 4074510 5074617 5432680 6766156 8149020 8457695 10149234 13532312 16298040 16915390 18606929 20298468 25373085 33830780 37213858 40596936 50746170 55820787 67661560 74427716 93034645 101492340 111641574 148855432 186069290 202984680 223283148 279103935 372138580 446566296 558207870 744277160 1116415740 2232831480