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2204234032 = 2472111319661
BaseRepresentation
bin1000001101100001…
…1111000100110000
312200121122200122111
42003120133010300
514003240442112
61002420215104
7105423452200
oct20330370460
95617580574
102204234032
11a31261720
1251623a494
132918848c0
1416ca60400
15cd7a65a7
hex8361f130

2204234032 has 120 divisors (see below), whose sum is σ = 5836782672. Its totient is φ = 792691200.

The previous prime is 2204234009. The next prime is 2204234069. The reversal of 2204234032 is 2304324022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2204233994 and 2204234012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102282 + ... + 121942.

Almost surely, 22204234032 is an apocalyptic number.

2204234032 is a gapful number since it is divisible by the number (22) 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 2204234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918391336).

2204234032 is an abundant number, since it is smaller than the sum of its proper divisors (3632548640).

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

2204234032 is a wasteful number, since it uses less digits than its factorization.

2204234032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19707 (or 19694 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2204234032 is about 46949.2708356584. The cubic root of 2204234032 is about 1301.4252675922.

Adding to 2204234032 its reverse (2304324022), we get a palindrome (4508558054).

The spelling of 2204234032 in words is "two billion, two hundred four million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 286 308 364 392 539 572 616 637 728 784 1001 1078 1144 1232 1274 1456 2002 2156 2288 2548 4004 4312 5096 7007 8008 8624 10192 14014 16016 19661 28028 39322 56056 78644 112112 137627 157288 216271 255593 275254 314576 432542 511186 550508 865084 963389 1022372 1101016 1513897 1730168 1789151 1926778 2044744 2202032 2811523 3027794 3460336 3578302 3853556 4089488 5623046 6055588 7156604 7707112 10597279 11246092 12111176 12524057 14313208 15414224 19680661 21194558 22492184 24222352 25048114 28626416 39361322 42389116 44984368 50096228 78722644 84778232 100192456 137764627 157445288 169556464 200384912 275529254 314890576 551058508 1102117016 2204234032