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2199235068 = 22322329671367
BaseRepresentation
bin1000001100010101…
…1010100111111100
312200021020201100200
42003011122213330
514001001010233
61002121123500
7105333122022
oct20305324774
95607221320
102199235068
11a29457948
12514629590
13290824434
1416c11c712
15cd11a313
hex8315a9fc

2199235068 has 144 divisors (see below), whose sum is σ = 6094932480. Its totient is φ = 666433152.

The previous prime is 2199235067. The next prime is 2199235109. The reversal of 2199235068 is 8605329912.

2199235068 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199235061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1608121 + ... + 1609487.

It is an arithmetic number, because the mean of its divisors is an integer number (42325920).

Almost surely, 22199235068 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 2199235068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047466240).

2199235068 is an abundant number, since it is smaller than the sum of its proper divisors (3895697412).

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

2199235068 is a wasteful number, since it uses less digits than its factorization.

2199235068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2199235068 is about 46896.0026867962. The cubic root of 2199235068 is about 1300.4406924056.

The spelling of 2199235068 in words is "two billion, one hundred ninety-nine million, two hundred thirty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 67 69 87 92 116 134 138 174 201 207 261 268 276 348 402 414 522 603 667 804 828 1044 1206 1334 1367 1541 1943 2001 2412 2668 2734 3082 3886 4002 4101 4623 5468 5829 6003 6164 7772 8004 8202 9246 11658 12006 12303 13869 16404 17487 18492 23316 24012 24606 27738 31441 34974 39643 44689 49212 55476 62882 69948 79286 89378 91589 94323 118929 125764 134067 158572 178756 183178 188646 237858 268134 274767 282969 356787 366356 377292 402201 475716 536268 549534 565938 713574 804402 824301 911789 1099068 1131876 1427148 1608804 1648602 1823578 2106547 2656081 2735367 3297204 3647156 4213094 5312162 5470734 6319641 7968243 8206101 8426188 10624324 10941468 12639282 15936486 16412202 18958923 23904729 25278564 31872972 32824404 37917846 47809458 61089863 75835692 95618916 122179726 183269589 244359452 366539178 549808767 733078356 1099617534 2199235068