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2233664316 = 22331312712527
BaseRepresentation
bin1000010100100011…
…0000001100111100
312202200000220102000
42011020300030330
514033304224231
61005351102300
7106231555602
oct20510601474
95680026360
102233664316
11a46933074
12524071990
132979ba480
14172921872
15d116b6e6
hex8523033c

2233664316 has 96 divisors (see below), whose sum is σ = 6286049280. Its totient is φ = 681815232.

The previous prime is 2233664309. The next prime is 2233664317. The reversal of 2233664316 is 6134663322.

2233664316 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 6 + 643 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233664317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172045 + ... + 184571.

It is an arithmetic number, because the mean of its divisors is an integer number (65479680).

Almost surely, 22233664316 is an apocalyptic number.

2233664316 is a gapful number since it is divisible by the number (26) 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 2233664316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143024640).

2233664316 is an abundant number, since it is smaller than the sum of its proper divisors (4052384964).

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

2233664316 is a wasteful number, since it uses less digits than its factorization.

2233664316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680 (or 12672 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 2233664316 is about 47261.6579903837. The cubic root of 2233664316 is about 1307.1917614290.

The spelling of 2233664316 in words is "two billion, two hundred thirty-three million, six hundred sixty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 127 156 234 254 351 381 468 508 702 762 1143 1404 1524 1651 2286 3302 3429 4572 4953 6604 6858 9906 12527 13716 14859 19812 25054 29718 37581 44577 50108 59436 75162 89154 112743 150324 162851 178308 225486 325702 338229 450972 488553 651404 676458 977106 1352916 1465659 1590929 1954212 2931318 3181858 4396977 4772787 5862636 6363716 8793954 9545574 14318361 17587908 19091148 20682077 28636722 41364154 42955083 57273444 62046231 82728308 85910166 124092462 171820332 186138693 248184924 372277386 558416079 744554772 1116832158 2233664316