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22011134200 = 23521121753503
BaseRepresentation
bin10100011111111101…
…110100000011111000
32002210222211110201121
4110133331310003320
5330034322243300
614040050555024
71406312360626
oct243775640370
962728743647
1022011134200
119375790a00
124323598a74
1320ca24cb83
1410cb43c516
1588c5cc81a
hex51ff740f8

22011134200 has 144 divisors (see below), whose sum is σ = 59561187840. Its totient is φ = 7533081600.

The previous prime is 22011134153. The next prime is 22011134219. The reversal of 22011134200 is 243111022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384649 + ... + 438151.

It is an arithmetic number, because the mean of its divisors is an integer number (413619360).

Almost surely, 222011134200 is an apocalyptic number.

22011134200 is a gapful number since it is divisible by the number (20) 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 22011134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29780593920).

22011134200 is an abundant number, since it is smaller than the sum of its proper divisors (37550053640).

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

22011134200 is a wasteful number, since it uses less digits than its factorization.

22011134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53558 (or 53538 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22011134200 its reverse (243111022), we get a palindrome (22254245222).

The spelling of 22011134200 in words is "twenty-two billion, eleven million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 121 136 170 187 200 220 242 275 340 374 425 440 484 550 605 680 748 850 935 968 1100 1210 1496 1700 1870 2057 2200 2420 3025 3400 3740 4114 4675 4840 6050 7480 8228 9350 10285 12100 16456 18700 20570 24200 37400 41140 51425 53503 82280 102850 107006 205700 214012 267515 411400 428024 535030 588533 909551 1070060 1177066 1337575 1819102 2140120 2354132 2675150 2942665 3638204 4547755 4708264 5350300 5885330 6473863 7276408 9095510 10005061 10700600 11770660 12947726 14713325 18191020 20010122 22738775 23541320 25895452 29426650 32369315 36382040 40020244 45477550 50025305 51790904 58853300 64738630 80040488 90955100 100050610 110055671 117706600 129477260 161846575 181910200 200101220 220111342 250126525 258954520 323693150 400202440 440222684 500253050 550278355 647386300 880445368 1000506100 1100556710 1294772600 2001012200 2201113420 2751391775 4402226840 5502783550 11005567100 22011134200