Search a number
-
+
2332201104 = 2432231076581
BaseRepresentation
bin1000101100000010…
…1001000010010000
320000112110002110200
42023000221002100
514234020413404
61023231055200
7111536245062
oct21300510220
96015402420
102332201104
11a97515232
12551071500
132b223ac6c
14181a51732
15d9b32839
hex8b029090

2332201104 has 120 divisors (see below), whose sum is σ = 6875399232. Its totient is φ = 736538880.

The previous prime is 2332201099. The next prime is 2332201121. The reversal of 2332201104 is 4011022332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351094 + ... + 357674.

Almost surely, 22332201104 is an apocalyptic number.

2332201104 is a gapful number since it is divisible by the number (24) 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 2332201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437699616).

2332201104 is an abundant number, since it is smaller than the sum of its proper divisors (4543198128).

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

2332201104 is a wasteful number, since it uses less digits than its factorization.

2332201104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2332201104 is about 48292.8680448780. The cubic root of 2332201104 is about 1326.1378343374.

Adding to 2332201104 its reverse (4011022332), we get a palindrome (6343223436).

The spelling of 2332201104 in words is "two billion, three hundred thirty-two million, two hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 107 138 144 184 207 214 276 321 368 414 428 552 642 828 856 963 1104 1284 1656 1712 1926 2461 2568 3312 3852 4922 5136 6581 7383 7704 9844 13162 14766 15408 19688 19743 22149 26324 29532 39376 39486 44298 52648 59064 59229 78972 88596 105296 118128 118458 151363 157944 177192 236916 302726 315888 354384 454089 473832 605452 704167 908178 947664 1210904 1362267 1408334 1816356 2112501 2421808 2724534 2816668 3632712 4225002 5449068 5633336 6337503 7265424 8450004 10898136 11266672 12675006 16195841 16900008 21796272 25350012 32391682 33800016 48587523 50700024 64783364 97175046 101400048 129566728 145762569 194350092 259133456 291525138 388700184 583050276 777400368 1166100552 2332201104