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1056228900 = 2235231137829
BaseRepresentation
bin111110111101001…
…100011000100100
32201121110222122220
4332331030120210
54130343311100
6252450352340
735113540356
oct7675143044
92647428586
101056228900
114a2239451
1225588b6b0
1313aa9681c
14a03c70d6
1562adbaa0
hex3ef4c624

1056228900 has 144 divisors (see below), whose sum is σ = 3181463040. Its totient is φ = 270259200.

The previous prime is 1056228883. The next prime is 1056228907. The reversal of 1056228900 is 98226501.

It is a super-2 number, since 2×10562289002 = 2231238978390420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056228907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273686 + ... + 1274514.

Almost surely, 21056228900 is an apocalyptic number.

1056228900 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 1056228900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590731520).

1056228900 is an abundant number, since it is smaller than the sum of its proper divisors (2125234140).

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

1056228900 is a wasteful number, since it uses less digits than its factorization.

1056228900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1056228900 is about 32499.6753829942. The cubic root of 1056228900 is about 1018.4022467202.

The spelling of 1056228900 in words is "one billion, fifty-six million, two hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 137 150 155 186 274 300 310 372 411 465 548 620 685 775 822 829 930 1370 1550 1644 1658 1860 2055 2325 2487 2740 3100 3316 3425 4110 4145 4247 4650 4974 6850 8220 8290 8494 9300 9948 10275 12435 12741 13700 16580 16988 20550 20725 21235 24870 25482 25699 41100 41450 42470 49740 50964 51398 62175 63705 77097 82900 84940 102796 106175 113573 124350 127410 128495 154194 212350 227146 248700 254820 256990 308388 318525 340719 385485 424700 454292 513980 567865 637050 642475 681438 770970 1135730 1274100 1284950 1362876 1541940 1703595 1927425 2271460 2569900 2839325 3407190 3520763 3854850 5678650 6814380 7041526 7709700 8517975 10562289 11357300 14083052 17035950 17603815 21124578 34071900 35207630 42249156 52811445 70415260 88019075 105622890 176038150 211245780 264057225 352076300 528114450 1056228900