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2157213680 = 245431314787
BaseRepresentation
bin1000000010010100…
…0111011111110000
312120100011210211222
42000211013133300
513404221314210
6554020324212
7104313004466
oct20045073760
95510153758
102157213680
11a07766626
12502543668
13284c007cb
14166700836
15c95b9655
hex809477f0

2157213680 has 80 divisors (see below), whose sum is σ = 5172418944. Its totient is φ = 836209920.

The previous prime is 2157213671. The next prime is 2157213703. The reversal of 2157213680 is 863127512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21572136802 = 9307141722358284800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2157213680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448247 + ... + 453033.

Almost surely, 22157213680 is an apocalyptic number.

2157213680 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 2157213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586209472).

2157213680 is an abundant number, since it is smaller than the sum of its proper divisors (3015205264).

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

2157213680 is a wasteful number, since it uses less digits than its factorization.

2157213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 2157213680 is about 46445.8144508200. The cubic root of 2157213680 is about 1292.1047466572.

The spelling of 2157213680 in words is "two billion, one hundred fifty-seven million, two hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 131 172 215 262 344 430 524 655 688 860 1048 1310 1720 2096 2620 3440 4787 5240 5633 9574 10480 11266 19148 22532 23935 28165 38296 45064 47870 56330 76592 90128 95740 112660 191480 205841 225320 382960 411682 450640 627097 823364 1029205 1254194 1646728 2058410 2508388 3135485 3293456 4116820 5016776 6270970 8233640 10033552 12541940 16467280 25083880 26965171 50167760 53930342 107860684 134825855 215721368 269651710 431442736 539303420 1078606840 2157213680