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1228280100 = 2235289179257
BaseRepresentation
bin100100100110110…
…0001000100100100
310011121020002112120
41021031201010210
510003414430400
6321514145540
742303131355
oct11115410444
93147202476
101228280100
11580372023
122a34222b0
13167616678
14b91b1d2c
1572c74ca0
hex49361124

1228280100 has 144 divisors (see below), whose sum is σ = 3627892800. Its totient is φ = 320798720.

The previous prime is 1228280077. The next prime is 1228280101. The reversal of 1228280100 is 10828221.

It is not an unprimeable number, because it can be changed into a prime (1228280101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4779172 + ... + 4779428.

It is an arithmetic number, because the mean of its divisors is an integer number (25193700).

Almost surely, 21228280100 is an apocalyptic number.

1228280100 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 1228280100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813946400).

1228280100 is an abundant number, since it is smaller than the sum of its proper divisors (2399612700).

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

1228280100 is a wasteful number, since it uses less digits than its factorization.

1228280100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1228280100 is about 35046.8272458435. The cubic root of 1228280100 is about 1070.9416405799.

The spelling of 1228280100 in words is "one billion, two hundred twenty-eight million, two hundred eighty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 179 257 267 300 356 358 445 514 534 537 716 771 890 895 1028 1068 1074 1285 1335 1542 1780 1790 2148 2225 2570 2670 2685 3084 3580 3855 4450 4475 5140 5340 5370 6425 6675 7710 8900 8950 10740 12850 13350 13425 15420 15931 17900 19275 22873 25700 26700 26850 31862 38550 45746 46003 47793 53700 63724 68619 77100 79655 91492 92006 95586 114365 137238 138009 159310 184012 191172 228730 230015 238965 274476 276018 318620 343095 398275 457460 460030 477930 552036 571825 686190 690045 796550 920060 955860 1143650 1150075 1194825 1372380 1380090 1593100 1715475 2287300 2300150 2389650 2760180 3430950 3450225 4094267 4600300 4779300 6861900 6900450 8188534 12282801 13800900 16377068 20471335 24565602 40942670 49131204 61414005 81885340 102356675 122828010 204713350 245656020 307070025 409426700 614140050 1228280100