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2240196480 = 27335129641
BaseRepresentation
bin1000010110000110…
…1010111110000000
312210010022202212000
42011201222332000
514041442241410
61010143104000
7106341233034
oct20541527600
95703282760
102240196480
11a4a594855
125262a2000
13299166762
141737421c4
15d1a0bdc0
hex8586af80

2240196480 has 128 divisors (see below), whose sum is σ = 7934090400. Its totient is φ = 597381120.

The previous prime is 2240196457. The next prime is 2240196503. The reversal of 2240196480 is 846910422.

2240196480 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 1 + 9 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2240196457) and next prime (2240196503).

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 (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47541 + ... + 82100.

Almost surely, 22240196480 is an apocalyptic number.

2240196480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240196480 is an abundant number, since it is smaller than the sum of its proper divisors (5693893920).

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

2240196480 is a wasteful number, since it uses less digits than its factorization.

2240196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129669 (or 129651 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2240196480 is about 47330.7139181314. The cubic root of 2240196480 is about 1308.4647788563.

The spelling of 2240196480 in words is "two billion, two hundred forty million, one hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 129641 259282 388923 518564 648205 777846 1037128 1166769 1296410 1555692 1944615 2074256 2333538 2592820 3111384 3500307 3889230 4148512 4667076 5185640 5833845 6222768 7000614 7778460 8297024 9334152 10371280 11667690 12445536 14001228 15556920 16594048 17501535 18668304 20742560 23335380 24891072 28002456 31113840 35003070 37336608 41485120 46670760 49782144 56004912 62227680 70006140 74673216 82970240 93341520 112009824 124455360 140012280 149346432 186683040 224019648 248910720 280024560 373366080 448039296 560049120 746732160 1120098240 2240196480