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1223111040 = 27351394583
BaseRepresentation
bin100100011100111…
…0011000110000000
310011020111110220220
41020321303012000
510001104023130
6321211303040
742211162254
oct11071630600
93136443826
101223111040
11578461478
122a174aa80
13166526958
14b8628264
15725a3410
hex48e73180

1223111040 has 128 divisors (see below), whose sum is σ = 3927571200. Its totient is φ = 323745792.

The previous prime is 1223111027. The next prime is 1223111041. The reversal of 1223111040 is 401113221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223111041) 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, 264589 + ... + 269171.

It is an arithmetic number, because the mean of its divisors is an integer number (30684150).

Almost surely, 21223111040 is an apocalyptic number.

1223111040 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 1223111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963785600).

1223111040 is an abundant number, since it is smaller than the sum of its proper divisors (2704460160).

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

1223111040 is a wasteful number, since it uses less digits than its factorization.

1223111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1223111040 is about 34973.0044462869. The cubic root of 1223111040 is about 1069.4372211567.

Adding to 1223111040 its reverse (401113221), we get a palindrome (1624224261).

The spelling of 1223111040 in words is "one billion, two hundred twenty-three million, one hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 278 320 384 417 480 556 640 695 834 960 1112 1390 1668 1920 2085 2224 2780 3336 4170 4448 4583 5560 6672 8340 8896 9166 11120 13344 13749 16680 17792 18332 22240 22915 26688 27498 33360 36664 44480 45830 53376 54996 66720 68745 73328 88960 91660 109992 133440 137490 146656 183320 219984 266880 274980 293312 366640 439968 549960 586624 637037 733280 879936 1099920 1274074 1466560 1759872 1911111 2199840 2548148 2933120 3185185 3822222 4399680 5096296 6370370 7644444 8799360 9555555 10192592 12740740 15288888 19111110 20385184 25481480 30577776 38222220 40770368 50962960 61155552 76444440 81540736 101925920 122311104 152888880 203851840 244622208 305777760 407703680 611555520 1223111040