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1226484540 = 2232533720219
BaseRepresentation
bin100100100011010…
…1010101100111100
310011110211212111100
41021012222230330
510002440001130
6321411453100
742251642451
oct11106525474
93143755440
101226484540
1157a355a96
122a28b7190
131671382c8
14b8c65828
1572a1cc60
hex491aab3c

1226484540 has 72 divisors (see below), whose sum is σ = 3731560560. Its totient is φ = 326075904.

The previous prime is 1226484521. The next prime is 1226484557. The reversal of 1226484540 is 454846221.

1226484540 is a `hidden beast` number, since 1 + 2 + 2 + 648 + 4 + 5 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1226484495 and 1226484504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50551 + ... + 70769.

It is an arithmetic number, because the mean of its divisors is an integer number (51827230).

Almost surely, 21226484540 is an apocalyptic number.

1226484540 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 1226484540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865780280).

1226484540 is an abundant number, since it is smaller than the sum of its proper divisors (2505076020).

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

1226484540 is a wasteful number, since it uses less digits than its factorization.

1226484540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20571 (or 20566 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1226484540 is about 35021.2012929311. The cubic root of 1226484540 is about 1070.4195344388.

The spelling of 1226484540 in words is "one billion, two hundred twenty-six million, four hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 1011 1348 1685 2022 3033 3370 4044 5055 6066 6740 10110 12132 15165 20219 20220 30330 40438 60657 60660 80876 101095 121314 181971 202190 242628 303285 363942 404380 606570 727884 909855 1213140 1819710 3639420 6813803 13627606 20441409 27255212 34069015 40882818 61324227 68138030 81765636 102207045 122648454 136276060 204414090 245296908 306621135 408828180 613242270 1226484540