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2187225990 = 23651971523
BaseRepresentation
bin1000001001011110…
…0110101110000110
312122102122121000000
42002113212232012
513434412212430
61001011502130
7105126054105
oct20227465606
95572577000
102187225990
11a226a5294
125105b7946
1328b1ab281
1416a6b403c
15cc046e60
hex825e6b86

2187225990 has 112 divisors (see below), whose sum is σ = 5936668848. Its totient is φ = 579918528.

The previous prime is 2187225959. The next prime is 2187226037. The reversal of 2187225990 is 995227812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1435369 + ... + 1436891.

Almost surely, 22187225990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2187225990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968334424).

2187225990 is an abundant number, since it is smaller than the sum of its proper divisors (3749442858).

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

2187225990 is a wasteful number, since it uses less digits than its factorization.

2187225990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2187225990 is about 46767.7879528207. The cubic root of 2187225990 is about 1298.0693214734.

The spelling of 2187225990 in words is "two billion, one hundred eighty-seven million, two hundred twenty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 197 243 270 394 405 486 591 729 810 985 1182 1215 1458 1523 1773 1970 2430 2955 3046 3546 3645 4569 5319 5910 7290 7615 8865 9138 10638 13707 15230 15957 17730 22845 26595 27414 31914 41121 45690 47871 53190 68535 79785 82242 95742 123363 137070 143613 159570 205605 239355 246726 287226 300031 370089 411210 478710 600062 616815 718065 740178 900093 1110267 1233630 1436130 1500155 1800186 1850445 2220534 2700279 3000310 3700890 4500465 5400558 5551335 8100837 9000930 11102670 13501395 16201674 24302511 27002790 40504185 48605022 72907533 81008370 121512555 145815066 218722599 243025110 364537665 437445198 729075330 1093612995 2187225990