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801002196 = 223437109613
BaseRepresentation
bin101111101111100…
…101001011010100
32001211020010110000
4233233211023110
53120024032241
6211252131300
725564256241
oct5757451324
92054203400
10801002196
11381165895
121a4306b30
13c9c440c7
147854a5c8
154a4c3eb6
hex2fbe52d4

801002196 has 120 divisors (see below), whose sum is σ = 2173842440. Its totient is φ = 256981248.

The previous prime is 801002177. The next prime is 801002201. The reversal of 801002196 is 691200108.

It can be written as a sum of positive squares in 4 ways, for example, as 98010000 + 702992196 = 9900^2 + 26514^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1306386 + ... + 1306998.

Almost surely, 2801002196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801002196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086921220).

801002196 is an abundant number, since it is smaller than the sum of its proper divisors (1372840244).

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

801002196 is a wasteful number, since it uses less digits than its factorization.

801002196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 801002196 is about 28301.9821920656. The cubic root of 801002196 is about 928.7052534404.

The spelling of 801002196 in words is "eight hundred one million, two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 109 111 148 162 218 222 324 327 333 436 444 613 654 666 981 999 1226 1308 1332 1839 1962 1998 2452 2943 2997 3678 3924 3996 4033 5517 5886 5994 7356 8066 8829 11034 11772 11988 12099 16132 16551 17658 22068 22681 24198 33102 35316 36297 45362 48396 49653 66204 66817 68043 72594 90724 99306 108891 133634 136086 145188 198612 200451 204129 217782 267268 272172 326673 400902 408258 435564 601353 612387 653346 801804 816516 1202706 1224774 1306692 1804059 1837161 2405412 2449548 2472229 3608118 3674322 4944458 5412177 7216236 7348644 7416687 9888916 10824354 14833374 21648708 22250061 29666748 44500122 66750183 89000244 133500366 200250549 267000732 400501098 801002196