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2204414200640 = 26523458365353
BaseRepresentation
bin100000000101000001010…
…100110100101101000000
321210201222102020011101002
4200011001110310231000
5242104120013410030
64404405514431132
7315156303353501
oct40050124645500
97721872204332
102204414200640
1177a983390293
122b7291a324a8
1312cb4c249092
14789a0d04ba8
153c51dc43245
hex20141534b40

2204414200640 has 112 divisors (see below), whose sum is σ = 5478769075968. Its totient is φ = 843231105024.

The previous prime is 2204414200631. The next prime is 2204414200669. The reversal of 2204414200640 is 460024144022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33698204 + ... + 33763556.

Almost surely, 22204414200640 is an apocalyptic number.

2204414200640 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 2204414200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739384537984).

2204414200640 is an abundant number, since it is smaller than the sum of its proper divisors (3274354875328).

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

2204414200640 is a wasteful number, since it uses less digits than its factorization.

2204414200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69976 (or 69966 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 2204414200640 its reverse (460024144022), we get a palindrome (2664438344662).

The spelling of 2204414200640 in words is "two trillion, two hundred four billion, four hundred fourteen million, two hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 4583 7360 9166 18332 22915 36664 45830 65353 73328 91660 105409 130706 146656 183320 210818 261412 293312 326765 366640 421636 522824 527045 653530 733280 843272 1045648 1054090 1307060 1466560 1503119 1686544 2091296 2108180 2614120 3006238 3373088 4182592 4216360 5228240 6012476 6746176 7515595 8432720 10456480 12024952 15031190 16865440 20912960 24049904 30062380 33730880 48099808 60124760 96199616 120249520 240499040 299512799 480998080 599025598 1198051196 1497563995 2396102392 2995127990 4792204784 5990255980 6888794377 9584409568 11980511960 13777588754 19168819136 23961023920 27555177508 34443971885 47922047840 55110355016 68887943770 95844095680 110220710032 137775887540 220441420064 275551775080 440882840128 551103550160 1102207100320 2204414200640