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1223107452 = 2236759921
BaseRepresentation
bin100100011100111…
…0010001101111100
310011020111022000000
41020321302031330
510001103414302
6321211234300
742211145640
oct11071621574
93136438000
101223107452
11578459806
122a1748990
13166525128
14b8626c20
15725a231c
hex48e7237c

1223107452 has 84 divisors (see below), whose sum is σ = 3667705776. Its totient is φ = 349453440.

The previous prime is 1223107427. The next prime is 1223107453. The reversal of 1223107452 is 2547013221.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223107453) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9549 + ... + 50372.

It is an arithmetic number, because the mean of its divisors is an integer number (43663164).

Almost surely, 21223107452 is an apocalyptic number.

1223107452 is a gapful number since it is divisible by the number (12) 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 1223107452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833852888).

1223107452 is an abundant number, since it is smaller than the sum of its proper divisors (2444598324).

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

1223107452 is an equidigital number, since it uses as much as digits as its factorization.

1223107452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59950 (or 59933 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1223107452 is about 34972.9531495411. The cubic root of 1223107452 is about 1069.4361754232.

The spelling of 1223107452 in words is "one billion, two hundred twenty-three million, one hundred seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6804 10206 20412 59921 119842 179763 239684 359526 419447 539289 719052 838894 1078578 1258341 1617867 1677788 2157156 2516682 3235734 3775023 4853601 5033364 6471468 7550046 9707202 11325069 14560803 15100092 19414404 22650138 29121606 33975207 43682409 45300276 58243212 67950414 87364818 101925621 135900828 174729636 203851242 305776863 407702484 611553726 1223107452