[go: up one dir, main page]

Search a number
-
+
3332100552 = 2331179197811
BaseRepresentation
bin1100011010011011…
…1101000111001000
322121012221020122120
43012212331013020
523311004204202
61310350251240
7145400246604
oct30646750710
98535836576
103332100552
11145a97a510
1278bab6b20
13411441441
14238774504
151477e40bc
hexc69bd1c8

3332100552 has 128 divisors (see below), whose sum is σ = 9260697600. Its totient is φ = 990662400.

The previous prime is 3332100517. The next prime is 3332100557. The reversal of 3332100552 is 2550012333.

It is a happy number.

3332100552 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 super-2 number, since 2×33321005522 = 22205788177277409408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3332100557) 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, 4108227 + ... + 4109037.

It is an arithmetic number, because the mean of its divisors is an integer number (72349200).

Almost surely, 23332100552 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 3332100552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630348800).

3332100552 is an abundant number, since it is smaller than the sum of its proper divisors (5928597048).

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

3332100552 is a wasteful number, since it uses less digits than its factorization.

3332100552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 3332100552 is about 57724.3497321538. The cubic root of 3332100552 is about 1493.6174064084.

Adding to 3332100552 its reverse (2550012333), we get a palindrome (5882112885).

The spelling of 3332100552 in words is "three billion, three hundred thirty-two million, one hundred thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 197 237 264 316 394 474 591 632 788 811 869 948 1182 1576 1622 1738 1896 2167 2364 2433 2607 3244 3476 4334 4728 4866 5214 6488 6501 6952 8668 8921 9732 10428 13002 15563 17336 17842 19464 20856 26004 26763 31126 35684 46689 52008 53526 62252 64069 71368 93378 107052 124504 128138 159767 171193 186756 192207 214104 256276 319534 342386 373512 384414 479301 512552 513579 639068 684772 704759 768828 958602 1027158 1278136 1369544 1409518 1537656 1757437 1917204 2054316 2114277 2819036 3514874 3834408 4108632 4228554 5272311 5638072 7029748 8457108 10544622 12621593 14059496 16914216 21089244 25243186 37864779 42178488 50486372 75729558 100972744 138837523 151459116 277675046 302918232 416512569 555350092 833025138 1110700184 1666050276 3332100552