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212022140220 = 223351153297131
BaseRepresentation
bin1100010101110110000…
…0010001110100111100
3202021021012001200112000
43011131200101310330
511433210131441340
6241222430142300
721214051312332
oct3053540216474
9667235050460
10212022140220
1181a10a75080
1235111951990
1316cbbc36307
14a394a23b52
1557adb19d30
hex315d811d3c

212022140220 has 576 divisors, whose sum is σ = 746641082880. Its totient is φ = 49528627200.

The previous prime is 212022140189. The next prime is 212022140263. The reversal of 212022140220 is 22041220212.

212022140220 is a `hidden beast` number, since 2 + 1 + 20 + 221 + 402 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212022140193 and 212022140202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1618489555 + ... + 1618489685.

It is an arithmetic number, because the mean of its divisors is an integer number (1296251880).

Almost surely, 2212022140220 is an apocalyptic number.

212022140220 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 212022140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373320541440).

212022140220 is an abundant number, since it is smaller than the sum of its proper divisors (534618942660).

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

212022140220 is a wasteful number, since it uses less digits than its factorization.

212022140220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212022140220 its reverse (22041220212), we get a palindrome (234063360432).

The spelling of 212022140220 in words is "two hundred twelve billion, twenty-two million, one hundred forty thousand, two hundred twenty".