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200071922436 = 223212725872
BaseRepresentation
bin1011101001010100110…
…1110100001100000100
3201010102100121201112100
42322111031310030010
511234221403004221
6231524535352100
720311653165261
oct2722515641404
9633370551470
10200071922436
1177939425631
1232937822630
1315b361b1a29
14997d884268
15530e92e926
hex2e95374304

200071922436 has 81 divisors (see below), whose sum is σ = 510620778759. Its totient is φ = 66052799568.

The previous prime is 200071922399. The next prime is 200071922459. The reversal of 200071922436 is 634229170002.

The square root of 200071922436 is 447294.

It is a perfect power (a square), and thus also a powerful number.

200071922436 is a `hidden beast` number, since 200 + 0 + 7 + 19 + 2 + 2 + 436 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 200071922436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 340837735 + ... + 340838321.

Almost surely, 2200071922436 is an apocalyptic number.

200071922436 is the 447294-th square number.

It is an amenable number.

200071922436 is an abundant number, since it is smaller than the sum of its proper divisors (310548856323).

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

200071922436 is an equidigital number, since it uses as much as digits as its factorization.

200071922436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 200071922436 by its sum of digits (36), we get a square (7202589207696 = 26837642).

200071922436 divided by its sum of digits (36) gives a square (5557553401 = 745492).

The spelling of 200071922436 in words is "two hundred billion, seventy-one million, nine hundred twenty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 587 762 1143 1174 1524 1761 2286 2348 3522 4572 5283 7044 10566 16129 21132 32258 48387 64516 74549 96774 145161 149098 193548 223647 290322 298196 344569 447294 580644 670941 689138 894588 1033707 1341882 1378276 2067414 2683764 3101121 4134828 6202242 9467723 12404484 18935446 28403169 37870892 43760263 56806338 85209507 87520526 113612676 131280789 170419014 175041052 262561578 340838028 393842367 525123156 787684734 1575369468 5557553401 11115106802 16672660203 22230213604 33345320406 50017980609 66690640812 100035961218 200071922436