Search a number
-
+
3230151552 = 273213272113
BaseRepresentation
bin1100000010001000…
…0011001110000000
322100010002200220200
43000202003032000
523103404322202
61252305205200
7143021556315
oct30042031600
98303080820
103230151552
111408377741
12761930800
133c62977a4
14228dd6d0c
1513d8a6e1c
hexc0883380

3230151552 has 96 divisors (see below), whose sum is σ = 9306504480. Its totient is φ = 1075396608.

The previous prime is 3230151527. The next prime is 3230151553. The reversal of 3230151552 is 2551510323.

It is a happy number.

3230151552 is a `hidden beast` number, since 32 + 30 + 1 + 51 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230151553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1527648 + ... + 1529760.

It is an arithmetic number, because the mean of its divisors is an integer number (96942755).

Almost surely, 23230151552 is an apocalyptic number.

3230151552 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 3230151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653252240).

3230151552 is an abundant number, since it is smaller than the sum of its proper divisors (6076352928).

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

3230151552 is a wasteful number, since it uses less digits than its factorization.

3230151552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 3230151552 is about 56834.4222456778. The cubic root of 3230151552 is about 1478.2264413674.

Adding to 3230151552 its reverse (2551510323), we get a palindrome (5781661875).

The spelling of 3230151552 in words is "three billion, two hundred thirty million, one hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1327 2113 2654 3981 4226 5308 6339 7962 8452 10616 11943 12678 15924 16904 19017 21232 23886 25356 31848 33808 38034 42464 47772 50712 63696 67616 76068 84928 95544 101424 127392 135232 152136 169856 191088 202848 254784 270464 304272 382176 405696 509568 608544 764352 811392 1217088 1528704 2434176 2803951 5607902 8411853 11215804 16823706 22431608 25235559 33647412 44863216 50471118 67294824 89726432 100942236 134589648 179452864 201884472 269179296 358905728 403768944 538358592 807537888 1076717184 1615075776 3230151552