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54222002040 = 233531109133723
BaseRepresentation
bin110010011111111000…
…100001011101111000
312011221211021002121210
4302133320201131320
51342021313031130
640524221403120
73626446261413
oct623770413570
9164854232553
1054222002040
1120aa49a7738
12a612a094a0
13516168019b
1428a5352b7a
15162536d5b0
hexc9fe21778

54222002040 has 128 divisors (see below), whose sum is σ = 169455052800. Its totient is φ = 13864296960.

The previous prime is 54222002017. The next prime is 54222002047. The reversal of 54222002040 is 4020022245.

It is a junction number, because it is equal to n+sod(n) for n = 54222001998 and 54222002016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54222002047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338619 + ... + 472341.

It is an arithmetic number, because the mean of its divisors is an integer number (1323867600).

Almost surely, 254222002040 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 54222002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84727526400).

54222002040 is an abundant number, since it is smaller than the sum of its proper divisors (115233050760).

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

54222002040 is a wasteful number, since it uses less digits than its factorization.

54222002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133877 (or 133873 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 54222002040 its reverse (4020022245), we get a palindrome (58242024285).

The spelling of 54222002040 in words is "fifty-four billion, two hundred twenty-two million, two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 109 120 124 155 186 218 248 310 327 372 436 465 545 620 654 744 872 930 1090 1240 1308 1635 1860 2180 2616 3270 3379 3720 4360 6540 6758 10137 13080 13516 16895 20274 27032 33790 40548 50685 67580 81096 101370 133723 135160 202740 267446 401169 405480 534892 668615 802338 1069784 1337230 1604676 2005845 2674460 3209352 4011690 4145413 5348920 8023380 8290826 12436239 14575807 16046760 16581652 20727065 24872478 29151614 33163304 41454130 43727421 49744956 58303228 62181195 72879035 82908260 87454842 99489912 116606456 124362390 145758070 165816520 174909684 218637105 248724780 291516140 349819368 437274210 451850017 497449560 583032280 874548420 903700034 1355550051 1749096840 1807400068 2259250085 2711100102 3614800136 4518500170 5422200204 6777750255 9037000340 10844400408 13555500510 18074000680 27111001020 54222002040