Search a number
-
+
22230385737921 = 34167231372
BaseRepresentation
bin1010000110111111010100…
…01111101100000011000001
32220201012111210201110110000
411003133222033230003001
510403210312222103141
6115140255341030213
74453043453004114
oct503375217540301
986635453643400
1022230385737921
1170a0943227719
1225b0493255369
13c5341611914a
1456bd5656857b
152883e3c095b6
hex1437ea3ec0c1

22230385737921 has 45 divisors (see below), whose sum is σ = 33419050342579. Its totient is φ = 14726817052416.

The previous prime is 22230385737907. The next prime is 22230385737979. The reversal of 22230385737921 is 12973758303222.

The square root of 22230385737921 is 4714911.

It is a perfect power (a square), and thus also a powerful number.

22230385737921 is a `hidden beast` number, since 2 + 2 + 2 + 30 + 38 + 573 + 7 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22202048729025 + 28337008896 = 4711905^2 + 168336^2 .

It is not a de Polignac number, because 22230385737921 - 237 = 22092946784449 is a prime.

It is a super-2 number, since 2×222303857379212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22230385787921) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7086509665 + ... + 7086512801.

Almost surely, 222230385737921 is an apocalyptic number.

22230385737921 is the 4714911-st square number.

22230385737921 is the 2357456-th centered octagonal number.

It is an amenable number.

22230385737921 is a deficient number, since it is larger than the sum of its proper divisors (11188664604658).

22230385737921 is an frugal number, since it uses more digits than its factorization.

22230385737921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 22230385737921 in words is "twenty-two trillion, two hundred thirty billion, three hundred eighty-five million, seven hundred thirty-seven thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 81 167 501 1503 3137 4509 9411 13527 27889 28233 83667 84699 251001 254097 523879 753003 1571637 2259009 4714911 9840769 14144733 29522307 42434199 87487793 88566921 262463379 265700763 787390137 797102289 1643408423 2362170411 4930225269 7086511233 14790675807 44372027421 133116082263 274449206641 823347619923 2470042859769 7410128579307 22230385737921