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123228480 = 2635235581
BaseRepresentation
bin1110101100001…
…01000101000000
322120212122200210
413112011011000
5223021302410
620121114120
73024265464
oct726050500
9276778623
10123228480
1163617421
1235328940
131c6b757b
141251a4a4
15ac42220
hex7585140

123228480 has 112 divisors (see below), whose sum is σ = 408334464. Its totient is φ = 31426560.

The previous prime is 123228467. The next prime is 123228487. The reversal of 123228480 is 84822321.

It is a super-2 number, since 2×1232284802 = 30370516566220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123228487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19290 + ... + 24870.

Almost surely, 2123228480 is an apocalyptic number.

123228480 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 123228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204167232).

123228480 is an abundant number, since it is smaller than the sum of its proper divisors (285105984).

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

123228480 is a wasteful number, since it uses less digits than its factorization.

123228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 123228480 is about 11100.8324012211. The cubic root of 123228480 is about 497.6267263003.

It can be divided in two parts, 12322 and 8480, that added together give a palindrome (20802).

The spelling of 123228480 in words is "one hundred twenty-three million, two hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 5581 7360 11040 11162 16743 22080 22324 27905 33486 44648 55810 66972 83715 89296 111620 128363 133944 167430 178592 223240 256726 267888 334860 357184 385089 446480 513452 535776 641815 669720 770178 892960 1026904 1071552 1283630 1339440 1540356 1785920 1925445 2053808 2567260 2678880 3080712 3850890 4107616 5134520 5357760 6161424 7701780 8215232 10269040 12322848 15403560 20538080 24645696 30807120 41076160 61614240 123228480