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1225917100 = 2252431372081
BaseRepresentation
bin100100100010010…
…0000001010101100
310011102210001010001
41021010200022230
510002313321400
6321351354044
742244060222
oct11104401254
93142701101
101225917100
11579aa8731
122a2682924
13166c99c45
14b8b58b12
1572959a6a
hex491202ac

1225917100 has 72 divisors (see below), whose sum is σ = 2743293168. Its totient is φ = 475238400.

The previous prime is 1225917079. The next prime is 1225917131. The reversal of 1225917100 is 17195221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588060 + ... + 590140.

It is an arithmetic number, because the mean of its divisors is an integer number (38101294).

Almost surely, 21225917100 is an apocalyptic number.

1225917100 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 1225917100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371646584).

1225917100 is an abundant number, since it is smaller than the sum of its proper divisors (1517376068).

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

1225917100 is a wasteful number, since it uses less digits than its factorization.

1225917100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 1225917100 is about 35013.0989773827. The cubic root of 1225917100 is about 1070.2544304261.

The spelling of 1225917100 in words is "one billion, two hundred twenty-five million, nine hundred seventeen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 137 172 215 274 430 548 685 860 1075 1370 2081 2150 2740 3425 4162 4300 5891 6850 8324 10405 11782 13700 20810 23564 29455 41620 52025 58910 89483 104050 117820 147275 178966 208100 285097 294550 357932 447415 570194 589100 894830 1140388 1425485 1789660 2237075 2850970 4474150 5701940 7127425 8948300 12259171 14254850 24518342 28509700 49036684 61295855 122591710 245183420 306479275 612958550 1225917100