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2157550360 = 2357210910099
BaseRepresentation
bin1000000010011001…
…1001101100011000
312120100210220200121
42000212121230120
513404313102420
6554031443024
7104315606200
oct20046315430
95510726617
102157550360
11a07976579
12502686474
13284cbab24
1416678b400
15c96342aa
hex80999b18

2157550360 has 96 divisors (see below), whose sum is σ = 5699430000. Its totient is φ = 732872448.

The previous prime is 2157550357. The next prime is 2157550361. The reversal of 2157550360 is 630557512.

It is a super-2 number, since 2×21575503602 = 9310047111872259200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157550361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208591 + ... + 218689.

Almost surely, 22157550360 is an apocalyptic number.

2157550360 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 2157550360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849715000).

2157550360 is an abundant number, since it is smaller than the sum of its proper divisors (3541879640).

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

2157550360 is a wasteful number, since it uses less digits than its factorization.

2157550360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10233 (or 10222 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 2157550360 is about 46449.4387479547. The cubic root of 2157550360 is about 1292.1719634873.

The spelling of 2157550360 in words is "two billion, one hundred fifty-seven million, five hundred fifty thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 109 140 196 218 245 280 392 436 490 545 763 872 980 1090 1526 1960 2180 3052 3815 4360 5341 6104 7630 10099 10682 15260 20198 21364 26705 30520 40396 42728 50495 53410 70693 80792 100990 106820 141386 201980 213640 282772 353465 403960 494851 565544 706930 989702 1100791 1413860 1979404 2201582 2474255 2827720 3958808 4403164 4948510 5503955 7705537 8806328 9897020 11007910 15411074 19794040 22015820 30822148 38527685 44031640 53938759 61644296 77055370 107877518 154110740 215755036 269693795 308221480 431510072 539387590 1078775180 2157550360