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220039680 = 293574093
BaseRepresentation
bin11010001110110…
…00101000000000
3120100001011200210
431013120220000
5422312232210
633500114120
75311210050
oct1507305000
9510034623
10220039680
11103230083
1261835940
13367827c3
142131b560
15144b6e20
hexd1d8a00

220039680 has 160 divisors (see below), whose sum is σ = 804127104. Its totient is φ = 50282496.

The previous prime is 220039657. The next prime is 220039681. The reversal of 220039680 is 86930022.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (220039681) 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, 51714 + ... + 55806.

Almost surely, 2220039680 is an apocalyptic number.

220039680 is a gapful number since it is divisible by the number (20) 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 220039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402063552).

220039680 is an abundant number, since it is smaller than the sum of its proper divisors (584087424).

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

220039680 is an equidigital number, since it uses as much as digits as its factorization.

220039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 220039680 is about 14833.7345264097. The cubic root of 220039680 is about 603.7173655358.

The spelling of 220039680 in words is "two hundred twenty million, thirty-nine thousand, six hundred eighty".

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 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4093 4480 5376 6720 7680 8186 8960 10752 12279 13440 16372 17920 20465 24558 26880 28651 32744 40930 49116 53760 57302 61395 65488 81860 85953 98232 114604 122790 130976 143255 163720 171906 196464 229208 245580 261952 286510 327440 343812 392928 429765 458416 491160 523904 573020 654880 687624 785856 859530 916832 982320 1047808 1146040 1309760 1375248 1571712 1719060 1833664 1964640 2095616 2292080 2619520 2750496 3143424 3438120 3667328 3929280 4584160 5239040 5500992 6286848 6876240 7334656 7858560 9168320 10478080 11001984 13752480 14669312 15717120 18336640 22003968 27504960 31434240 36673280 44007936 55009920 73346560 110019840 220039680