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2230020100 = 22527111092657
BaseRepresentation
bin1000010011101011…
…0110100000000100
312202102011202111001
42010322312200010
514031341120400
61005141023044
7106155600220
oct20472664004
95672152431
102230020100
11a44874120
125229b4a84
13297012829
14172253780
15d0b9ba6a
hex84eb6804

2230020100 has 144 divisors (see below), whose sum is σ = 6090860160. Its totient is φ = 688435200.

The previous prime is 2230020071. The next prime is 2230020113. The reversal of 2230020100 is 10200322.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 837972 + ... + 840628.

It is an arithmetic number, because the mean of its divisors is an integer number (42297640).

Almost surely, 22230020100 is an apocalyptic number.

2230020100 is a gapful number since it is divisible by the number (20) 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 2230020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045430080).

2230020100 is an abundant number, since it is smaller than the sum of its proper divisors (3860840060).

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

2230020100 is a wasteful number, since it uses less digits than its factorization.

2230020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2230020100 is about 47223.0886325746. The cubic root of 2230020100 is about 1306.4804814490.

Adding to 2230020100 its reverse (10200322), we get a palindrome (2240220422).

The spelling of 2230020100 in words is "two billion, two hundred thirty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 109 110 140 154 175 218 220 275 308 350 385 436 545 550 700 763 770 1090 1100 1199 1526 1540 1925 2180 2398 2657 2725 3052 3815 3850 4796 5314 5450 5995 7630 7700 8393 10628 10900 11990 13285 15260 16786 18599 19075 23980 26570 29227 29975 33572 37198 38150 41965 53140 58454 59950 66425 74396 76300 83930 92995 116908 119900 132850 146135 167860 185990 204589 209825 265700 289613 292270 371980 409178 419650 464975 579226 584540 730675 818356 839300 929950 1022945 1158452 1448065 1461350 1859900 2027291 2045890 2896130 2922700 3185743 4054582 4091780 5114725 5792260 6371486 7240325 8109164 10136455 10229450 12742972 14480650 15928715 20272910 20458900 22300201 28961300 31857430 40545820 44600402 50682275 63714860 79643575 89200804 101364550 111501005 159287150 202729100 223002010 318574300 446004020 557505025 1115010050 2230020100