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215145141200 = 245211473310331
BaseRepresentation
bin1100100001011110100…
…1100101001111010000
3202120022211112120110222
43020113221211033100
512011104124004300
6242500351012212
721354332345423
oct3102751451720
9676284476428
10215145141200
1183273906a20
123584380a068
1317398c556a2
14a5ad6c79ba
1558e2da8785
hex3217a653d0

215145141200 has 120 divisors (see below), whose sum is σ = 564049586016. Its totient is φ = 78210496000.

The previous prime is 215145141199. The next prime is 215145141283. The reversal of 215145141200 is 2141541512.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 215145141200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20820035 + ... + 20830365.

Almost surely, 2215145141200 is an apocalyptic number.

215145141200 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 215145141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282024793008).

215145141200 is an abundant number, since it is smaller than the sum of its proper divisors (348904444816).

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

215145141200 is a wasteful number, since it uses less digits than its factorization.

215145141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15093 (or 15082 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 215145141200 its reverse (2141541512), we get a palindrome (217286682712).

The spelling of 215145141200 in words is "two hundred fifteen billion, one hundred forty-five million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 4733 9466 10331 18932 20662 23665 37864 41324 47330 51655 52063 75728 82648 94660 103310 104126 113641 118325 165296 189320 206620 208252 227282 236650 258275 260315 378640 413240 416504 454564 473300 516550 520630 568205 826480 833008 909128 946600 1033100 1041260 1136410 1301575 1818256 1893200 2066200 2082520 2272820 2603150 2841025 4132400 4165040 4545640 5206300 5682050 9091280 10412600 11364100 20825200 22728200 45456400 48896623 97793246 195586492 244483115 391172984 488966230 537862853 782345968 977932460 1075725706 1222415575 1955864920 2151451412 2444831150 2689314265 3911729840 4302902824 4889662300 5378628530 8605805648 9779324600 10757257060 13446571325 19558649200 21514514120 26893142650 43029028240 53786285300 107572570600 215145141200