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332113152 = 2837163379
BaseRepresentation
bin10011110010111…
…010010100000000
3212010221002121010
4103302322110000
51140010110102
652542200520
711141625630
oct2362722400
9763832533
10332113152
11160518588
1293283140
1353a62877
14321726c0
151e253d6c
hex13cba500

332113152 has 144 divisors (see below), whose sum is σ = 1019056640. Its totient is φ = 94058496.

The previous prime is 332113043. The next prime is 332113157. The reversal of 332113152 is 251311233.

332113152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3321131522 = 220598291462750208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332113157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876099 + ... + 876477.

Almost surely, 2332113152 is an apocalyptic number.

332113152 is a gapful number since it is divisible by the number (32) 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 332113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509528320).

332113152 is an abundant number, since it is smaller than the sum of its proper divisors (686943488).

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

332113152 is a wasteful number, since it uses less digits than its factorization.

332113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 554 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 332113152 is about 18223.9719051583. The cubic root of 332113152 is about 692.5142134562.

Adding to 332113152 its reverse (251311233), we get a palindrome (583424385).

It can be divided in two parts, 33211 and 3152, that added together give a palindrome (36363).

The spelling of 332113152 in words is "three hundred thirty-two million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 163 168 192 224 256 326 336 379 384 448 489 652 672 758 768 896 978 1137 1141 1304 1344 1516 1792 1956 2274 2282 2608 2653 2688 3032 3423 3912 4548 4564 5216 5306 5376 6064 6846 7824 7959 9096 9128 10432 10612 12128 13692 15648 15918 18192 18256 20864 21224 24256 27384 31296 31836 36384 36512 41728 42448 48512 54768 61777 62592 63672 72768 73024 84896 97024 109536 123554 125184 127344 145536 146048 169792 185331 219072 247108 254688 291072 292096 339584 370662 432439 438144 494216 509376 679168 741324 864878 876288 988432 1018752 1297317 1482648 1729756 1976864 2037504 2594634 2965296 3459512 3953728 5189268 5930592 6919024 7907456 10378536 11861184 13838048 15814912 20757072 23722368 27676096 41514144 47444736 55352192 83028288 110704384 166056576 332113152