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157223336000 = 265319799761
BaseRepresentation
bin1001001001101100111…
…1011011100001000000
3120000211011110000001112
42102123033123201000
510033443133223000
6200121041422452
714234066206613
oct2223317334100
9500734400045
10157223336000
1160750524425
122657993aa28
1311a97c20383
147876c4617a
154152d12235
hex249b3db840

157223336000 has 112 divisors (see below), whose sum is σ = 391343979312. Its totient is φ = 62569472000.

The previous prime is 157223335861. The next prime is 157223336021. The reversal of 157223336000 is 633322751.

It can be written as a sum of positive squares in 8 ways, for example, as 38441092096 + 118782243904 = 196064^2 + 344648^2 .

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

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 15 ways as a sum of consecutive naturals, for example, 1526120 + ... + 1625880.

Almost surely, 2157223336000 is an apocalyptic number.

157223336000 is a gapful number since it is divisible by the number (10) 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 157223336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195671989656).

157223336000 is an abundant number, since it is smaller than the sum of its proper divisors (234120643312).

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

157223336000 is an equidigital number, since it uses as much as digits as its factorization.

157223336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99985 (or 99965 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

Adding to 157223336000 its reverse (633322751), we get a palindrome (157856658751).

The spelling of 157223336000 in words is "one hundred fifty-seven billion, two hundred twenty-three million, three hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 197 200 250 320 394 400 500 788 800 985 1000 1576 1600 1970 2000 3152 3940 4000 4925 6304 7880 8000 9850 12608 15760 19700 24625 31520 39400 49250 63040 78800 98500 99761 157600 197000 199522 315200 394000 399044 498805 788000 798088 997610 1576000 1596176 1995220 2494025 3192352 3990440 4988050 6384704 7980880 9976100 12470125 15961760 19652917 19952200 24940250 31923520 39305834 39904400 49880500 78611668 79808800 98264585 99761000 157223336 159617600 196529170 199522000 314446672 393058340 399044000 491322925 628893344 786116680 798088000 982645850 1257786688 1572233360 1965291700 2456614625 3144466720 3930583400 4913229250 6288933440 7861166800 9826458500 15722333600 19652917000 31444667200 39305834000 78611668000 157223336000