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150222152192 = 297224472
BaseRepresentation
bin1000101111100111110…
…0000010001000000000
3112100202020111000101112
42023321330002020000
54430123332332232
6153002222022452
713565434140200
oct2137174021000
9470666430345
10150222152192
1158788541402
1225145117a28
13112205c1668
1473b109c400
153d933624b2
hex22f9f02200

150222152192 has 90 divisors (see below), whose sum is σ = 349297875927. Its totient is φ = 64354612224.

The previous prime is 150222152167. The next prime is 150222152219. The reversal of 150222152192 is 291251222051.

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.

It can be written as a sum of positive squares in only one way, i.e., 75111076096 + 75111076096 = 274064^2 + 274064^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=274064.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61389113 + ... + 61391559.

Almost surely, 2150222152192 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 150222152192

150222152192 is an abundant number, since it is smaller than the sum of its proper divisors (199075723735).

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

150222152192 is an frugal number, since it uses more digits than its factorization.

150222152192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

Multiplying 150222152192 by its sum of digits (32), we get a square (4807108870144 = 21925122).

150222152192 divided by its sum of digits (32) gives a square (4694442256 = 685162).

The spelling of 150222152192 in words is "one hundred fifty billion, two hundred twenty-two million, one hundred fifty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 2447 3136 3584 4894 6272 9788 12544 17129 19576 25088 34258 39152 68516 78304 119903 137032 156608 239806 274064 313216 479612 548128 626432 959224 1096256 1252864 1918448 2192512 3836896 4385024 5987809 7673792 8770048 11975618 15347584 23951236 30695168 41914663 47902472 61390336 83829326 95804944 167658652 191609888 293402641 335317304 383219776 586805282 670634608 766439552 1173610564 1341269216 1532879104 2347221128 2682538432 3065758208 4694442256 5365076864 9388884512 10730153728 18777769024 21460307456 37555538048 75111076096 150222152192