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2200233120 = 253537123887
BaseRepresentation
bin1000001100100100…
…1110010010100000
312200100010102102120
42003021032102200
514001224424440
61002154344240
7105344446551
oct20311162240
95610112376
102200233120
11a29a79788
12514a2b080
13290ab37b7
1416c2dc328
15cd265dd0
hex8324e4a0

2200233120 has 96 divisors (see below), whose sum is σ = 7118108928. Its totient is φ = 570866688.

The previous prime is 2200233071. The next prime is 2200233121. The reversal of 2200233120 is 213320022.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2200233120.

It is not an unprimeable number, because it can be changed into a prime (2200233121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44184 + ... + 79703.

It is an arithmetic number, because the mean of its divisors is an integer number (74146968).

Almost surely, 22200233120 is an apocalyptic number.

2200233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200233120 is an abundant number, since it is smaller than the sum of its proper divisors (4917875808).

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

2200233120 is a wasteful number, since it uses less digits than its factorization.

2200233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123942 (or 123934 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2200233120 is about 46906.6425999559. The cubic root of 2200233120 is about 1300.6373836953.

Adding to 2200233120 its reverse (213320022), we get a palindrome (2413553142).

The spelling of 2200233120 in words is "two billion, two hundred million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 123887 247774 371661 495548 619435 743322 991096 1238870 1486644 1858305 1982192 2477740 2973288 3716610 3964384 4583819 4955480 5946576 7433220 9167638 9910960 11893152 13751457 14866440 18335276 19821920 22919095 27502914 29732880 36670552 45838190 55005828 59465760 68757285 73341104 91676380 110011656 137514570 146682208 183352760 220023312 275029140 366705520 440046624 550058280 733411040 1100116560 2200233120