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2240827162644 = 223767433919531
BaseRepresentation
bin100000100110111011101…
…101010000000000010100
321221012222002122021210110
4200212323231100000110
5243203203223201034
64433231034523020
7320615533416540
oct40467355200024
97835862567713
102240827162644
11794369573614
12302354596470
13133403109345
147a656d38a20
153d450878de9
hex209bbb50014

2240827162644 has 96 divisors (see below), whose sum is σ = 6078739158016. Its totient is φ = 629223344640.

The previous prime is 2240827162621. The next prime is 2240827162657. The reversal of 2240827162644 is 4462617280422.

It is a junction number, because it is equal to n+sod(n) for n = 2240827162593 and 2240827162602.

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, 1977159 + ... + 2896689.

Almost surely, 22240827162644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240827162644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039369579008).

2240827162644 is an abundant number, since it is smaller than the sum of its proper divisors (3837911995372).

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

2240827162644 is a wasteful number, since it uses less digits than its factorization.

2240827162644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920045 (or 920043 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 2240827162644 in words is "two trillion, two hundred forty billion, eight hundred twenty-seven million, one hundred sixty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 433 469 804 866 938 1299 1407 1732 1876 2598 2814 3031 5196 5628 6062 9093 12124 18186 29011 36372 58022 87033 116044 174066 203077 348132 406154 609231 812308 919531 1218462 1839062 2436924 2758593 3678124 5517186 6436717 11034372 12873434 19310151 25746868 38620302 61608577 77240604 123217154 184825731 246434308 369651462 398156923 431260039 739302924 796313846 862520078 1194470769 1293780117 1592627692 1725040156 2388941538 2587560234 2787098461 4777883076 5175120468 5574196922 8361295383 11148393844 16722590766 26676513841 33445181532 53353027682 80029541523 106706055364 160059083046 186735596887 320118166092 373471193774 560206790661 746942387548 1120413581322 2240827162644