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2230015104 = 27331933961
BaseRepresentation
bin1000010011101011…
…0101010010000000
312202102011111122000
42010322311102000
514031340440404
61005140544000
7106155546522
oct20472652200
95672144560
102230015104
11a44870399
125229b2000
13297010485
14172251a12
15d0b9a339
hex84eb5480

2230015104 has 128 divisors (see below), whose sum is σ = 6928248000. Its totient is φ = 704194560.

The previous prime is 2230015087. The next prime is 2230015129. The reversal of 2230015104 is 4015100322.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 48684 + ... + 82644.

Almost surely, 22230015104 is an apocalyptic number.

2230015104 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 2230015104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464124000).

2230015104 is an abundant number, since it is smaller than the sum of its proper divisors (4698232896).

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

2230015104 is a wasteful number, since it uses less digits than its factorization.

2230015104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34003 (or 33985 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2230015104 is about 47223.0357346920. The cubic root of 2230015104 is about 1306.4795057954.

Adding to 2230015104 its reverse (4015100322), we get a palindrome (6245115426).

The spelling of 2230015104 in words is "two billion, two hundred thirty million, fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 21888 32832 33961 65664 67922 101883 135844 203766 271688 305649 407532 543376 611298 645259 815064 916947 1086752 1222596 1290518 1630128 1833894 1935777 2173504 2445192 2581036 3260256 3667788 3871554 4347008 4890384 5162072 5807331 6520512 7335576 7743108 9780768 10324144 11614662 13041024 14671152 15486216 17421993 19561536 20648288 23229324 29342304 30972432 34843986 39123072 41296576 46458648 58684608 61944864 69687972 82593152 92917296 117369216 123889728 139375944 185834592 247779456 278751888 371669184 557503776 743338368 1115007552 2230015104