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2204200032 = 253192352541
BaseRepresentation
bin1000001101100001…
…0110110001100000
312200121120222000020
42003120112301200
514003233400112
61002415353440
7105423251106
oct20330266140
95617528006
102204200032
11a31239121
12516222880
13291872298
1416ca51c76
15cd79b48c
hex83616c60

2204200032 has 96 divisors (see below), whose sum is σ = 6355480320. Its totient is φ = 665786880.

The previous prime is 2204200003. The next prime is 2204200039. The reversal of 2204200032 is 2300024022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2204199984 and 2204200020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204200039) 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, 15682 + ... + 68222.

It is an arithmetic number, because the mean of its divisors is an integer number (66202920).

Almost surely, 22204200032 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 2204200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177740160).

2204200032 is an abundant number, since it is smaller than the sum of its proper divisors (4151280288).

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

2204200032 is a wasteful number, since it uses less digits than its factorization.

2204200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52596 (or 52588 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2204200032 is about 46948.9087413115. The cubic root of 2204200032 is about 1301.4185761239.

Adding to 2204200032 its reverse (2300024022), we get a palindrome (4504224054).

The spelling of 2204200032 in words is "two billion, two hundred four million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 552 608 736 874 912 1104 1311 1748 1824 2208 2622 3496 5244 6992 10488 13984 20976 41952 52541 105082 157623 210164 315246 420328 630492 840656 998279 1208443 1260984 1681312 1996558 2416886 2521968 2994837 3625329 3993116 4833772 5043936 5989674 7250658 7986232 9667544 11979348 14501316 15972464 19335088 22960417 23958696 29002632 31944928 38670176 45920834 47917392 58005264 68881251 91841668 95834784 116010528 137762502 183683336 275525004 367366672 551050008 734733344 1102100016 2204200032