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1222242240 = 26359971277
BaseRepresentation
bin100100011011001…
…1110111111000000
310011011212100011010
41020312132333000
510000343222430
6321140520520
742200613312
oct11066367700
93134770133
101222242240
11577a1875a
122a13b0140
131662b137b
14b847d7b2
1572480cb0
hex48d9efc0

1222242240 has 112 divisors (see below), whose sum is σ = 3887553312. Its totient is φ = 325349376.

The previous prime is 1222242233. The next prime is 1222242253. The reversal of 1222242240 is 422422221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956482 + ... + 957758.

Almost surely, 21222242240 is an apocalyptic number.

1222242240 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 1222242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943776656).

1222242240 is an abundant number, since it is smaller than the sum of its proper divisors (2665311072).

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

1222242240 is a wasteful number, since it uses less digits than its factorization.

1222242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1222242240 is about 34960.5812308663. The cubic root of 1222242240 is about 1069.1839470312.

Adding to 1222242240 its reverse (422422221), we get a palindrome (1644664461).

The spelling of 1222242240 in words is "one billion, two hundred twenty-two million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 997 1277 1994 2554 2991 3831 3988 4985 5108 5982 6385 7662 7976 9970 10216 11964 12770 14955 15324 15952 19155 19940 20432 23928 25540 29910 30648 31904 38310 39880 40864 47856 51080 59820 61296 63808 76620 79760 81728 95712 102160 119640 122592 153240 159520 191424 204320 239280 245184 306480 319040 408640 478560 612960 957120 1225920 1273169 2546338 3819507 5092676 6365845 7639014 10185352 12731690 15278028 19097535 20370704 25463380 30556056 38195070 40741408 50926760 61112112 76390140 81482816 101853520 122224224 152780280 203707040 244448448 305560560 407414080 611121120 1222242240