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157023225800 = 23527303736931
BaseRepresentation
bin1001001000111101010…
…0000100011111001000
3120000022012220100110122
42102033110010133020
510033040421211200
6200045132402412
714226116253140
oct2221724043710
9500265810418
10157023225800
11606585766a1
1226522916408
1311a65627b7c
147858435920
154140485385
hex248f5047c8

157023225800 has 96 divisors (see below), whose sum is σ = 417381827520. Its totient is φ = 53817350400.

The previous prime is 157023225787. The next prime is 157023225803. The reversal of 157023225800 is 8522320751.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (157023225803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4233335 + ... + 4270265.

It is an arithmetic number, because the mean of its divisors is an integer number (4347727370).

Almost surely, 2157023225800 is an apocalyptic number.

157023225800 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 157023225800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208690913760).

157023225800 is an abundant number, since it is smaller than the sum of its proper divisors (260358601720).

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

157023225800 is a wasteful number, since it uses less digits than its factorization.

157023225800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39991 (or 39982 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 157023225800 in words is "one hundred fifty-seven billion, twenty-three million, two hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 3037 6074 12148 15185 21259 24296 30370 36931 42518 60740 73862 75925 85036 106295 121480 147724 151850 170072 184655 212590 258517 295448 303700 369310 425180 517034 531475 607400 738620 850360 923275 1034068 1062950 1292585 1477240 1846550 2068136 2125900 2585170 3693100 4251800 5170340 6462925 7386200 10340680 12925850 25851700 51703400 112159447 224318894 448637788 560797235 785116129 897275576 1121594470 1570232258 2243188940 2803986175 3140464516 3925580645 4486377880 5607972350 6280929032 7851161290 11215944700 15702322580 19627903225 22431889400 31404645160 39255806450 78511612900 157023225800