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197222145152 = 2717223092
BaseRepresentation
bin1011011110101101011…
…0110001110010000000
3200212001202021001000112
42313223112301302000
511212402332121102
6230334055010452
720151230400554
oct2675326616200
9625052231015
10197222145152
117670683979a
1232281369a28
13157a0976896
14978d1c3864
1551e4661252
hex2deb5b1c80

197222145152 has 72 divisors (see below), whose sum is σ = 417555828435. Its totient is φ = 92770226176.

The previous prime is 197222145149. The next prime is 197222145209. The reversal of 197222145152 is 251541222791.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

197222145152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 194212964416 + 3009180736 = 440696^2 + 54856^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=314024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85413374 + ... + 85415682.

Almost surely, 2197222145152 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 197222145152

197222145152 is an abundant number, since it is smaller than the sum of its proper divisors (220333683283).

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

197222145152 is an frugal number, since it uses more digits than its factorization.

197222145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 2328 counting only the distinct ones).

The product of its digits is 100800, while the sum is 41.

The spelling of 197222145152 in words is "one hundred ninety-seven billion, two hundred twenty-two million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 2176 2309 2312 4618 4624 9236 9248 18472 18496 36944 36992 39253 73888 78506 147776 157012 295552 314024 628048 667301 1256096 1334602 2512192 2669204 5024384 5331481 5338408 10662962 10676816 21325924 21353632 42651848 42707264 85303696 85414528 90635177 170607392 181270354 341214784 362540708 682429568 725081416 1450162832 1540798009 2900325664 3081596018 5800651328 6163192036 11601302656 12326384072 24652768144 49305536288 98611072576 197222145152