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1234222440 = 2335111755001
BaseRepresentation
bin100100110010000…
…1011110101101000
310012000101222220020
41021210023311220
510011430104230
6322245400440
742404501103
oct11144136550
93160358806
101234222440
11583760650
122a5409120
13168917349
14b9cbb73a
157354a810
hex4990bd68

1234222440 has 128 divisors (see below), whose sum is σ = 4276955520. Its totient is φ = 281600000.

The previous prime is 1234222411. The next prime is 1234222441. The reversal of 1234222440 is 442224321.

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 1234222440.

It is not an unprimeable number, because it can be changed into a prime (1234222441) 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, 5061 + ... + 49940.

It is an arithmetic number, because the mean of its divisors is an integer number (33413715).

Almost surely, 21234222440 is an apocalyptic number.

1234222440 is a gapful number since it is divisible by the number (10) 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 1234222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138477760).

1234222440 is an abundant number, since it is smaller than the sum of its proper divisors (3042733080).

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

1234222440 is a wasteful number, since it uses less digits than its factorization.

1234222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55043 (or 55039 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1234222440 is about 35131.5021028137. The cubic root of 1234222440 is about 1072.6659118140.

Adding to 1234222440 its reverse (442224321), we get a palindrome (1676446761).

The spelling of 1234222440 in words is "one billion, two hundred thirty-four million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 55001 110002 165003 220004 275005 330006 440008 550010 605011 660012 825015 935017 1100020 1210022 1320024 1650030 1815033 1870034 2200040 2420044 2805051 3025055 3300060 3630066 3740068 4675085 4840088 5610102 6050110 6600120 7260132 7480136 9075165 9350170 10285187 11220204 12100220 14025255 14520264 18150330 18700340 20570374 22440408 24200440 28050510 30855561 36300660 37400680 41140748 51425935 56101020 61711122 72601320 82281496 102851870 112202040 123422244 154277805 205703740 246844488 308555610 411407480 617111220 1234222440