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22414313040 = 2435721905979
BaseRepresentation
bin10100110111111111…
…110100011001010000
32010212002111002010020
4110313333310121100
5331401031004130
614144052303440
71422306342300
oct246777643120
963762432106
1022414313040
119562328159
124416611b80
132162935332
141128bcd600
158b2bbce10
hex537ff4650

22414313040 has 120 divisors (see below), whose sum is σ = 80828799840. Its totient is φ = 5123268864.

The previous prime is 22414313023. The next prime is 22414313057. The reversal of 22414313040 is 4031341422.

It is an interprime number because it is at equal distance from previous prime (22414313023) and next prime (22414313057).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×224143130402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22414313040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941230 + ... + 964749.

It is an arithmetic number, because the mean of its divisors is an integer number (673573332).

Almost surely, 222414313040 is an apocalyptic number.

22414313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22414313040 is an abundant number, since it is smaller than the sum of its proper divisors (58414486800).

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

22414313040 is a wasteful number, since it uses less digits than its factorization.

22414313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906009 (or 1905996 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22414313040 its reverse (4031341422), we get a palindrome (26445654462).

The spelling of 22414313040 in words is "twenty-two billion, four hundred fourteen million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 1905979 3811958 5717937 7623916 9529895 11435874 13341853 15247832 19059790 22871748 26683706 28589685 30495664 38119580 40025559 45743496 53367412 57179370 66709265 76239160 80051118 91486992 93392971 106734824 114358740 133418530 152478320 160102236 186785942 200127795 213469648 228717480 266837060 280178913 320204472 373571884 400255590 457434960 466964855 533674120 560357826 640408944 747143768 800511180 933929710 1067348240 1120715652 1400894565 1494287536 1601022360 1867859420 2241431304 2801789130 3202044720 3735718840 4482862608 5603578260 7471437680 11207156520 22414313040