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2215200120 = 2335719138797
BaseRepresentation
bin1000010000001001…
…0100010101111000
312201101021211021220
42010002110111320
514014042400440
61003451232040
7105615614250
oct20402242570
95641254256
102215200120
11a37471701
12519a48620
13293c24103
141702b6960
15ce7208d0
hex84094578

2215200120 has 128 divisors (see below), whose sum is σ = 7994764800. Its totient is φ = 479678976.

The previous prime is 2215200073. The next prime is 2215200151. The reversal of 2215200120 is 210025122.

It is a super-2 number, since 2×22152001202 = 9814223143296028800, which contains 22 as substring.

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 2215200120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53439 + ... + 85358.

It is an arithmetic number, because the mean of its divisors is an integer number (62459100).

Almost surely, 22215200120 is an apocalyptic number.

2215200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2215200120 is an abundant number, since it is smaller than the sum of its proper divisors (5779564680).

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

2215200120 is a wasteful number, since it uses less digits than its factorization.

2215200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138837 (or 138833 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2215200120 is about 47065.9125057615. The cubic root of 2215200120 is about 1303.5798999909.

Adding to 2215200120 its reverse (210025122), we get a palindrome (2425225242).

The spelling of 2215200120 in words is "two billion, two hundred fifteen million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 138797 277594 416391 555188 693985 832782 971579 1110376 1387970 1665564 1943158 2081955 2637143 2775940 2914737 3331128 3886316 4163910 4857895 5274286 5551880 5829474 7772632 7911429 8327820 9715790 10548572 11658948 13185715 14573685 15822858 16655640 18460001 19431580 21097144 23317896 26371430 29147370 31645716 36920002 38863160 39557145 52742860 55380003 58294740 63291432 73840004 79114290 92300005 105485720 110760006 116589480 147680008 158228580 184600010 221520012 276900015 316457160 369200020 443040024 553800030 738400040 1107600060 2215200120