Search a number
-
+
3223112100 = 22352134871697
BaseRepresentation
bin1100000000011100…
…1100100110100100
322022121212001121020
43000013030212210
523100104041400
61251454251140
7142605000165
oct30007144644
98277761536
103223112100
1114043a990a
1275b4b6ab0
133c49a1630
142280c376c
1513ce662a0
hexc01cc9a4

3223112100 has 144 divisors (see below), whose sum is σ = 10069438848. Its totient is φ = 791285760.

The previous prime is 3223112089. The next prime is 3223112111. The reversal of 3223112100 is 12113223.

It is an interprime number because it is at equal distance from previous prime (3223112089) and next prime (3223112111).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3223112100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1898452 + ... + 1900148.

Almost surely, 23223112100 is an apocalyptic number.

3223112100 is a gapful number since it is divisible by the number (30) 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 3223112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034719424).

3223112100 is an abundant number, since it is smaller than the sum of its proper divisors (6846326748).

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

3223112100 is a wasteful number, since it uses less digits than its factorization.

3223112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3223112100 is about 56772.4589920148. The cubic root of 3223112100 is about 1477.1518300317.

Adding to 3223112100 its reverse (12113223), we get a palindrome (3235225323).

The spelling of 3223112100 in words is "three billion, two hundred twenty-three million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 487 650 780 974 975 1300 1461 1697 1948 1950 2435 2922 3394 3900 4870 5091 5844 6331 6788 7305 8485 9740 10182 12175 12662 14610 16970 18993 20364 22061 24350 25324 25455 29220 31655 33940 36525 37986 42425 44122 48700 50910 63310 66183 73050 75972 84850 88244 94965 101820 110305 126620 127275 132366 146100 158275 169700 189930 220610 254550 264732 316550 330915 379860 441220 474825 509100 551525 633100 661830 826439 949650 1103050 1323660 1652878 1654575 1899300 2206100 2479317 3305756 3309150 4132195 4958634 6618300 8264390 9917268 10743707 12396585 16528780 20660975 21487414 24793170 32231121 41321950 42974828 49586340 53718535 61982925 64462242 82643900 107437070 123965850 128924484 161155605 214874140 247931700 268592675 322311210 537185350 644622420 805778025 1074370700 1611556050 3223112100