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2202960804 = 22311672231117
BaseRepresentation
bin1000001101001110…
…1000001110100100
312200112021000002220
42003103220032210
514002424221204
61002333032340
7105406600152
oct20323501644
95615230086
102202960804
11a30572070
125159256b0
1329152a205
1416c80c3d2
15cd6041d9
hex834e83a4

2202960804 has 96 divisors (see below), whose sum is σ = 5721870336. Its totient is φ = 654065280.

The previous prime is 2202960803. The next prime is 2202960817. The reversal of 2202960804 is 4080692022.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2202960803) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1971654 + ... + 1972770.

It is an arithmetic number, because the mean of its divisors is an integer number (59602816).

Almost surely, 22202960804 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 2202960804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860935168).

2202960804 is an abundant number, since it is smaller than the sum of its proper divisors (3518909532).

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

2202960804 is a wasteful number, since it uses less digits than its factorization.

2202960804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2202960804 is about 46935.7092627777. The cubic root of 2202960804 is about 1301.1746392992.

The spelling of 2202960804 in words is "two billion, two hundred two million, nine hundred sixty thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 223 268 402 446 669 737 804 892 1117 1338 1474 2211 2234 2453 2676 2948 3351 4422 4468 4906 6702 7359 8844 9812 12287 13404 14718 14941 24574 29436 29882 36861 44823 49148 59764 73722 74839 89646 147444 149678 164351 179292 224517 249091 299356 328702 449034 493053 498182 657404 747273 823229 898068 986106 996364 1494546 1646458 1972212 2469687 2740001 2989092 3292916 4939374 5480002 8220003 9878748 10960004 16440006 16689097 32880012 33378194 50067291 66756388 100134582 183580067 200269164 367160134 550740201 734320268 1101480402 2202960804