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22312133440 = 265312249207
BaseRepresentation
bin10100110001111010…
…000010001101000000
32010120222012211001121
4110301322002031000
5331143401232230
614130002242024
71416626001502
oct246172021500
963528184047
1022312133440
11950a688103
1243a8356314
13214770a72c
1411193d1d72
158a8c3777a
hex531e82340

22312133440 has 56 divisors (see below), whose sum is σ = 54844687872. Its totient is φ = 8636951040.

The previous prime is 22312133401. The next prime is 22312133449. The reversal of 22312133440 is 4433121322.

It is a super-3 number, since 3×223121334403 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22312133449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1114684 + ... + 1134523.

Almost surely, 222312133440 is an apocalyptic number.

22312133440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22312133440 is an abundant number, since it is smaller than the sum of its proper divisors (32532554432).

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

22312133440 is a wasteful number, since it uses less digits than its factorization.

22312133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249255 (or 2249245 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 22312133440 its reverse (4433121322), we get a palindrome (26745254762).

The spelling of 22312133440 in words is "twenty-two billion, three hundred twelve million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 2249207 4498414 8996828 11246035 17993656 22492070 35987312 44984140 69725417 71974624 89968280 139450834 143949248 179936560 278901668 348627085 359873120 557803336 697254170 719746240 1115606672 1394508340 2231213344 2789016680 4462426688 5578033360 11156066720 22312133440