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400222213440 = 2635759556877
BaseRepresentation
bin1011101001011110001…
…10100101010101000000
31102021001011200222112020
411310233012211111000
523024123341312230
6503505355001440
740625610453420
oct5645706452500
91367034628466
10400222213440
11144808007675
1265695739280
132b9826a239a
14155298c8480
15a62618e810
hex5d2f1a5540

400222213440 has 112 divisors (see below), whose sum is σ = 1452234913152. Its totient is φ = 91479361536.

The previous prime is 400222213403. The next prime is 400222213451. The reversal of 400222213440 is 44312222004.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400222213440.

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, 29771719 + ... + 29785158.

Almost surely, 2400222213440 is an apocalyptic number.

400222213440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400222213440 is an abundant number, since it is smaller than the sum of its proper divisors (1052012699712).

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

400222213440 is a wasteful number, since it uses less digits than its factorization.

400222213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59556904 (or 59556894 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 400222213440 its reverse (44312222004), we get a palindrome (444534435444).

The spelling of 400222213440 in words is "four hundred billion, two hundred twenty-two million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 59556877 119113754 178670631 238227508 297784385 357341262 416898139 476455016 595568770 714682524 833796278 893353155 952910032 1191137540 1250694417 1429365048 1667592556 1786706310 1905820064 2084490695 2382275080 2501388834 2858730096 3335185112 3573412620 3811640128 4168981390 4764550160 5002777668 5717460192 6253472085 6670370224 7146825240 8337962780 9529100320 10005555336 11434920384 12506944170 13340740448 14293650480 16675925560 19058200640 20011110672 25013888340 26681480896 28587300960 33351851120 40022221344 50027776680 57174601920 66703702240 80044442688 100055553360 133407404480 200111106720 400222213440