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2262428501320 = 23513191481154619
BaseRepresentation
bin100000111011000011001…
…111110100010101001000
322000021201112100222202001
4200323003033310111020
5244031423144020240
64451202330320344
7322312041650401
oct40730317642510
98007645328661
102262428501320
117a25439a9029
123065828890b4
13135466498150
147b705b829a8
153dcb6eaa89a
hex20ec33f4548

2262428501320 has 128 divisors (see below), whose sum is σ = 5774500368000. Its totient is φ = 790852515840.

The previous prime is 2262428501297. The next prime is 2262428501327. The reversal of 2262428501320 is 231058242622.

It is a super-2 number, since 2×22624285013202 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2262428501320.

It is not an unprimeable number, because it can be changed into a prime (2262428501327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14554971 + ... + 14709589.

It is an arithmetic number, because the mean of its divisors is an integer number (45113284125).

Almost surely, 22262428501320 is an apocalyptic number.

2262428501320 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 2262428501320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887250184000).

2262428501320 is an abundant number, since it is smaller than the sum of its proper divisors (3512071866680).

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

2262428501320 is a wasteful number, since it uses less digits than its factorization.

2262428501320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156143 (or 156139 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 2262428501320 in words is "two trillion, two hundred sixty-two billion, four hundred twenty-eight million, five hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1481 1976 2470 2962 4940 5924 7405 9880 11848 14810 19253 28139 29620 38506 56278 59240 77012 96265 112556 140695 154024 154619 192530 225112 281390 309238 365807 385060 562780 618476 731614 770120 773095 1125560 1236952 1463228 1546190 1829035 2010047 2926456 2937761 3092380 3658070 4020094 5875522 6184760 7316140 8040188 10050235 11751044 14632280 14688805 16080376 20100470 23502088 29377610 38190893 40200940 58755220 76381786 80401880 117510440 152763572 190954465 228990739 305527144 381908930 457981478 763817860 915962956 1144953695 1527635720 1831925912 2289907390 2976879607 4350824041 4579814780 5953759214 8701648082 9159629560 11907518428 14884398035 17403296164 21754120205 23815036856 29768796070 34806592328 43508240410 56560712533 59537592140 87016480820 113121425066 119075184280 174032961640 226242850132 282803562665 452485700264 565607125330 1131214250660 2262428501320