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157338025220 = 22537898092953
BaseRepresentation
bin1001001010001000010…
…0111011110100000100
3120001010011020211002102
42102202010323310010
510034212013301340
6200140255531232
714236661101535
oct2224204736404
9501104224072
10157338025220
11607aa239102
12265b0229b18
1311ab5907c0c
14788817c68c
15415ce19215
hex24a213bd04

157338025220 has 96 divisors (see below), whose sum is σ = 343693173600. Its totient is φ = 60450914304.

The previous prime is 157338025219. The next prime is 157338025223. The reversal of 157338025220 is 22520833751.

It can be written as a sum of positive squares in 16 ways, for example, as 40119556 + 157297905664 = 6334^2 + 396608^2 .

It is not an unprimeable number, because it can be changed into a prime (157338025223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53279264 + ... + 53282216.

It is an arithmetic number, because the mean of its divisors is an integer number (3580137225).

Almost surely, 2157338025220 is an apocalyptic number.

157338025220 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 157338025220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171846586800).

157338025220 is an abundant number, since it is smaller than the sum of its proper divisors (186355148380).

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

157338025220 is a wasteful number, since it uses less digits than its factorization.

157338025220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

Adding to 157338025220 its reverse (22520833751), we get a palindrome (179858858971).

The spelling of 157338025220 in words is "one hundred fifty-seven billion, three hundred thirty-eight million, twenty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 89 148 178 185 356 370 445 740 809 890 1618 1780 2953 3236 3293 4045 5906 6586 8090 11812 13172 14765 16180 16465 29530 29933 32930 59060 59866 65860 72001 109261 119732 144002 149665 218522 262817 288004 299330 360005 437044 525634 546305 598660 720010 1051268 1092610 1314085 1440020 2185220 2388977 2628170 2664037 4777954 5256340 5328074 9555908 9724229 10656148 11944885 13320185 19448458 23889770 26640370 38896916 47779540 48621145 53280740 88392149 97242290 176784298 194484580 212618953 353568596 425237906 441960745 850475812 883921490 1063094765 1767842980 2126189530 4252379060 7866901261 15733802522 31467605044 39334506305 78669012610 157338025220