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212232200320 = 275771667229
BaseRepresentation
bin1100010110101000000…
…1100110000010000000
3202021210211022211210201
43011222001212002000
511434122420402240
6241255332334544
721222211636420
oct3055201460200
9667724284721
10212232200320
11820095a9368
1235170174454
131702360362a
14a3b48a4480
1557c22aed9a
hex316a066080

212232200320 has 128 divisors (see below), whose sum is σ = 588016454400. Its totient is φ = 71740354560.

The previous prime is 212232200317. The next prime is 212232200321. The reversal of 212232200320 is 23002232212.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (212232200321) 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, 15535 + ... + 651694.

It is an arithmetic number, because the mean of its divisors is an integer number (4593878550).

Almost surely, 2212232200320 is an apocalyptic number.

212232200320 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 212232200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294008227200).

212232200320 is an abundant number, since it is smaller than the sum of its proper divisors (375784254080).

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

212232200320 is an equidigital number, since it uses as much as digits as its factorization.

212232200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667326 (or 667314 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 212232200320 its reverse (23002232212), we get a palindrome (235234432532).

The spelling of 212232200320 in words is "two hundred twelve billion, two hundred thirty-two million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 71 80 112 128 140 142 160 224 280 284 320 355 448 497 560 568 640 710 896 994 1120 1136 1420 1988 2240 2272 2485 2840 3976 4480 4544 4970 5680 7952 9088 9940 11360 15904 19880 22720 31808 39760 45440 63616 79520 159040 318080 667229 1334458 2668916 3336145 4670603 5337832 6672290 9341206 10675664 13344580 18682412 21351328 23353015 26689160 37364824 42702656 46706030 47373259 53378320 74729648 85405312 93412060 94746518 106756640 149459296 186824120 189493036 213513280 236866295 298918592 331612813 373648240 378986072 427026560 473732590 597837184 663225626 747296480 757972144 947465180 1326451252 1494592960 1515944288 1658064065 1894930360 2652902504 2989185920 3031888576 3316128130 3789860720 5305805008 6063777152 6632256260 7579721440 10611610016 13264512520 15159442880 21223220032 26529025040 30318885760 42446440064 53058050080 106116100160 212232200320