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2202204004 = 22711131732353
BaseRepresentation
bin1000001101000010…
…1111011101100100
312200110211112222021
42003100233131210
514002231012004
61002304512524
7105400265560
oct20320573544
95613745867
102202204004
11a300a5510
1251561b744
132913238c0
1416c6926a0
15cd504d54
hex8342f764

2202204004 has 96 divisors (see below), whose sum is σ = 5478955776. Its totient is φ = 745390080.

The previous prime is 2202203981. The next prime is 2202204029. The reversal of 2202204004 is 4004022022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51892 + ... + 84244.

It is an arithmetic number, because the mean of its divisors is an integer number (57072456).

Almost surely, 22202204004 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 2202204004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739477888).

2202204004 is an abundant number, since it is smaller than the sum of its proper divisors (3276751772).

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

2202204004 is a wasteful number, since it uses less digits than its factorization.

2202204004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32405 (or 32403 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2202204004 is about 46927.6464783820. The cubic root of 2202204004 is about 1301.0256214032.

Adding to 2202204004 its reverse (4004022022), we get a palindrome (6206226026).

The spelling of 2202204004 in words is "two billion, two hundred two million, two hundred four thousand, four".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 308 364 374 442 476 572 748 884 1001 1309 1547 2002 2431 2618 3094 4004 4862 5236 6188 9724 17017 32353 34034 64706 68068 129412 226471 355883 420589 452942 550001 711766 841178 905884 1100002 1423532 1682356 2200004 2491181 2944123 3850007 4626479 4982362 5888246 6050011 7150013 7700014 9252958 9964724 11776492 12100022 14300026 15400028 18505916 24200044 28600052 32385353 42350077 50050091 64770706 78650143 84700154 100100182 129541412 157300286 169400308 200200364 314600572 550551001 1101102002 2202204004