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134222440 = 235112967157
BaseRepresentation
bin10000000000000…
…01001001101000
3100100120012120111
420000001021220
5233330104230
621152504104
73216605032
oct1000011150
9310505514
10134222440
1169846340
1238b4b034
1321a66681
1413b7cc52
15bbb492a
hex8001268

134222440 has 128 divisors (see below), whose sum is σ = 348105600. Its totient is φ = 46126080.

The previous prime is 134222437. The next prime is 134222443. The reversal of 134222440 is 44222431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134222437) and next prime (134222443).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (134222443) 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, 854842 + ... + 854998.

It is an arithmetic number, because the mean of its divisors is an integer number (2719575).

Almost surely, 2134222440 is an apocalyptic number.

134222440 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 134222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174052800).

134222440 is an abundant number, since it is smaller than the sum of its proper divisors (213883160).

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

134222440 is a wasteful number, since it uses less digits than its factorization.

134222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 134222440 is about 11585.4408634285. The cubic root of 134222440 is about 512.0059915477.

Adding to 134222440 its reverse (44222431), we get a palindrome (178444871).

Subtracting from 134222440 its reverse (44222431), we obtain a palindrome (90000009).

The spelling of 134222440 in words is "one hundred thirty-four million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 67 88 110 116 134 145 157 220 232 268 290 314 319 335 440 536 580 628 638 670 737 785 1160 1256 1276 1340 1474 1570 1595 1727 1943 2552 2680 2948 3140 3190 3454 3685 3886 4553 5896 6280 6380 6908 7370 7772 8635 9106 9715 10519 12760 13816 14740 15544 17270 18212 19430 21038 21373 22765 29480 34540 36424 38860 42076 42746 45530 50083 52595 69080 77720 84152 85492 91060 100166 105190 106865 115709 170984 182120 200332 210380 213730 231418 250415 305051 400664 420760 427460 462836 500830 578545 610102 854920 925672 1001660 1157090 1220204 1525255 2003320 2314180 2440408 3050510 3355561 4628360 6101020 6711122 12202040 13422244 16777805 26844488 33555610 67111220 134222440