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213202222000 = 2453191558121
BaseRepresentation
bin1100011010001111010…
…1111011101110110000
3202101022102121001101121
43012203311323232300
511443114232101000
6241535503312024
721255230662105
oct3064365735660
9671272531347
10213202222000
1182467106a79
12353a0bab614
1317149575661
14a46764aaac
15582c51db1a
hex31a3d7bbb0

213202222000 has 80 divisors (see below), whose sum is σ = 518222974464. Its totient is φ = 84834240000.

The previous prime is 213202221977. The next prime is 213202222061. The reversal of 213202222000 is 222202312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102940 + ... + 661060.

Almost surely, 2213202222000 is an apocalyptic number.

213202222000 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 213202222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259111487232).

213202222000 is an abundant number, since it is smaller than the sum of its proper divisors (305020752464).

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

213202222000 is a wasteful number, since it uses less digits than its factorization.

213202222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558335 (or 558319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 213202222000 its reverse (222202312), we get a palindrome (213424424312).

The spelling of 213202222000 in words is "two hundred thirteen billion, two hundred two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 191 200 250 382 400 500 764 955 1000 1528 1910 2000 3056 3820 4775 7640 9550 15280 19100 23875 38200 47750 76400 95500 191000 382000 558121 1116242 2232484 2790605 4464968 5581210 8929936 11162420 13953025 22324840 27906050 44649680 55812100 69765125 106601111 111624200 139530250 213202222 223248400 279060500 426404444 533005555 558121000 852808888 1066011110 1116242000 1705617776 2132022220 2665027775 4264044440 5330055550 8528088880 10660111100 13325138875 21320222200 26650277750 42640444400 53300555500 106601111000 213202222000