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1422226368 = 26324160223
BaseRepresentation
bin101010011000101…
…0111001111000000
310200010011120210200
41110301113033000
510403042220433
6353043125200
750146503363
oct12461271700
93603146720
101422226368
1166a89a7a2
12338373800
13198861384
14d6c5a0da
1584cd5613
hex54c573c0

1422226368 has 84 divisors (see below), whose sum is σ = 4176052608. Its totient is φ = 462504960.

The previous prime is 1422226363. The next prime is 1422226397. The reversal of 1422226368 is 8636222241.

1422226368 is a `hidden beast` number, since 1 + 422 + 226 + 3 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422226363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6496 + ... + 53727.

It is an arithmetic number, because the mean of its divisors is an integer number (49714912).

Almost surely, 21422226368 is an apocalyptic number.

1422226368 is a gapful number since it is divisible by the number (18) 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 1422226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088026304).

1422226368 is an abundant number, since it is smaller than the sum of its proper divisors (2753826240).

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

1422226368 is a wasteful number, since it uses less digits than its factorization.

1422226368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60282 (or 60269 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 1422226368 is about 37712.4166290096. The cubic root of 1422226368 is about 1124.5779797818.

The spelling of 1422226368 in words is "one billion, four hundred twenty-two million, two hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 11808 23616 60223 120446 180669 240892 361338 481784 542007 722676 963568 1084014 1445352 1927136 2168028 2469143 2890704 3854272 4336056 4938286 5781408 7407429 8672112 9876572 11562816 14814858 17344224 19753144 22222287 29629716 34688448 39506288 44444574 59259432 79012576 88889148 118518864 158025152 177778296 237037728 355556592 474075456 711113184 1422226368