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221420058000 = 24353151244393
BaseRepresentation
bin1100111000110110101…
…0011111010110010000
3210011112010220101002220
43032031222133112100
512111432013324000
6245415144141040
721665665303461
oct3161552372620
9704463811086
10221420058000
11859a3939879
1236ab5167780
1317b58c791cb
14aa06c1ad68
155b5dbe81a0
hex338da9f590

221420058000 has 160 divisors (see below), whose sum is σ = 718588745472. Its totient is φ = 58654080000.

The previous prime is 221420057993. The next prime is 221420058007. The reversal of 221420058000 is 850024122.

It is an interprime number because it is at equal distance from previous prime (221420057993) and next prime (221420058007).

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

It is not an unprimeable number, because it can be changed into a prime (221420058007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783804 + ... + 1028196.

Almost surely, 2221420058000 is an apocalyptic number.

221420058000 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 221420058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359294372736).

221420058000 is an abundant number, since it is smaller than the sum of its proper divisors (497168687472).

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

221420058000 is a wasteful number, since it uses less digits than its factorization.

221420058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244570 (or 244554 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 221420058000 in words is "two hundred twenty-one billion, four hundred twenty million, fifty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 151 200 240 250 300 302 375 400 453 500 600 604 750 755 906 1000 1200 1208 1500 1510 1812 2000 2265 2416 3000 3020 3624 3775 4530 6000 6040 7248 7550 9060 11325 12080 15100 18120 18875 22650 30200 36240 37750 45300 56625 60400 75500 90600 113250 151000 181200 226500 244393 302000 453000 488786 733179 906000 977572 1221965 1466358 1955144 2443930 2932716 3665895 3910288 4887860 5865432 6109825 7331790 9775720 11730864 12219650 14663580 18329475 19551440 24439300 29327160 30549125 36658950 36903343 48878600 58654320 61098250 73317900 73806686 91647375 97757200 110710029 122196500 146635800 147613372 183294750 184516715 221420058 244393000 293271600 295226744 366589500 369033430 442840116 488786000 553550145 590453488 733179000 738066860 885680232 922583575 1107100290 1466358000 1476133720 1771360464 1845167150 2214200580 2767750725 2952267440 3690334300 4428401160 4612917875 5535501450 7380668600 8856802320 9225835750 11071002900 13838753625 14761337200 18451671500 22142005800 27677507250 36903343000 44284011600 55355014500 73806686000 110710029000 221420058000