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2208322264148 = 22711135211058597
BaseRepresentation
bin100000001000101010010…
…000111001110001010100
321211010001202221100122222
4200020222100321301110
5242140120444423043
64410253402041512
7315355166350610
oct40105220716124
97733052840588
102208322264148
117815a9390240
122b7ba27a9298
13130322abb2b0
1478c51d66340
153c69bda7d68
hex2022a439c54

2208322264148 has 96 divisors (see below), whose sum is σ = 5198749371648. Its totient is φ = 792676684800.

The previous prime is 2208322264073. The next prime is 2208322264171. The reversal of 2208322264148 is 8414622238022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2208322264099 and 2208322264108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1556786 + ... + 2615382.

It is an arithmetic number, because the mean of its divisors is an integer number (54153639288).

Almost surely, 22208322264148 is an apocalyptic number.

2208322264148 is a gapful number since it is divisible by the number (28) 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 2208322264148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599374685824).

2208322264148 is an abundant number, since it is smaller than the sum of its proper divisors (2990427107500).

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

2208322264148 is a wasteful number, since it uses less digits than its factorization.

2208322264148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059153 (or 1059151 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The spelling of 2208322264148 in words is "two trillion, two hundred eight billion, three hundred twenty-two million, two hundred sixty-four thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 521 572 1001 1042 2002 2084 3647 4004 5731 6773 7294 11462 13546 14588 22924 27092 40117 47411 74503 80234 94822 149006 160468 189644 298012 521521 1043042 1058597 2086084 2117194 4234388 7410179 11644567 13761761 14820358 23289134 27523522 29640716 46578268 55047044 81511969 96332327 151379371 163023938 192664654 302758742 326047876 385329308 551529037 605517484 1059655597 1103058074 2119311194 2206116148 3860703259 4238622388 6066819407 7169877481 7721406518 12133638814 14339754962 15442813036 24267277628 28679509924 42467735849 50189142367 78868652291 84935471698 100378284734 157737304582 169870943396 200756569468 315474609164 552080566037 1104161132074 2208322264148