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220150117152 = 25327234747889
BaseRepresentation
bin1100110100000111111…
…0000011001100100000
3210001020122021200202200
43031001332003030200
512101331412222102
6245045141013200
721622345056150
oct3150176031440
9701218250680
10220150117152
1185402002489
12367bb9b4200
13179b5b37114
14a9262c2760
155ad749451c
hex3341f83320

220150117152 has 144 divisors (see below), whose sum is σ = 746596206720. Its totient is φ = 60165236736.

The previous prime is 220150117151. The next prime is 220150117153. The reversal of 220150117152 is 251711051022.

220150117152 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 501 + 1 + 7 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (220150117151) and next prime (220150117153).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2201501171522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220150117151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2327577 + ... + 2420312.

It is an arithmetic number, because the mean of its divisors is an integer number (5184695880).

Almost surely, 2220150117152 is an apocalyptic number.

It is an amenable number.

220150117152 is an abundant number, since it is smaller than the sum of its proper divisors (526446089568).

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

220150117152 is a wasteful number, since it uses less digits than its factorization.

220150117152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4747935 (or 4747924 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 220150117152 its reverse (251711051022), we get a palindrome (471861168174).

The spelling of 220150117152 in words is "two hundred twenty billion, one hundred fifty million, one hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 4747889 9495778 14243667 18991556 28487334 33235223 37983112 42731001 56974668 66470446 75966224 85462002 99705669 109201447 113949336 132940892 151932448 170924004 199411338 218402894 227898672 265881784 299117007 327604341 341848008 398822676 436805788 455797344 531763568 598234014 655208682 683696016 764410129 797645352 873611576 982813023 1063527136 1196468028 1310417364 1367392032 1528820258 1595290704 1747223152 1965626046 2293230387 2392936056 2620834728 3057640516 3190581408 3494446304 3931252092 4586460774 4785872112 5241669456 6115281032 6879691161 7862504184 9172921548 9571744224 10483338912 12230562064 13759382322 15725008368 18345843096 24461124128 27518764644 31450016736 36691686192 55037529288 73383372384 110075058576 220150117152