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2202043104 = 253318114081
BaseRepresentation
bin1000001101000000…
…1000001011100000
312200110112101021000
42003100020023200
514002210334404
61002301232000
7105366025512
oct20320101340
95613471230
102202043104
11a2aaa5638
12515562600
132912985b1
1416c64dbb2
15cd4c2339
hex834082e0

2202043104 has 96 divisors (see below), whose sum is σ = 6458568480. Its totient is φ = 729907200.

The previous prime is 2202043079. The next prime is 2202043147. The reversal of 2202043104 is 4013402022.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149344 + ... + 163424.

It is an arithmetic number, because the mean of its divisors is an integer number (67276755).

Almost surely, 22202043104 is an apocalyptic number.

2202043104 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 2202043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229284240).

2202043104 is an abundant number, since it is smaller than the sum of its proper divisors (4256525376).

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

2202043104 is a wasteful number, since it uses less digits than its factorization.

2202043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281 (or 14267 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2202043104 is about 46925.9321058197. The cubic root of 2202043104 is about 1300.9939349471.

Adding to 2202043104 its reverse (4013402022), we get a palindrome (6215445126).

The spelling of 2202043104 in words is "two billion, two hundred two million, forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 181 216 288 362 432 543 724 864 1086 1448 1629 2172 2896 3258 4344 4887 5792 6516 8688 9774 13032 14081 17376 19548 26064 28162 39096 42243 52128 56324 78192 84486 112648 126729 156384 168972 225296 253458 337944 380187 450592 506916 675888 760374 1013832 1351776 1520748 2027664 2548661 3041496 4055328 5097322 6082992 7645983 10194644 12165984 15291966 20389288 22937949 30583932 40778576 45875898 61167864 68813847 81557152 91751796 122335728 137627694 183503592 244671456 275255388 367007184 550510776 734014368 1101021552 2202043104