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222640669440 = 2834574761107
BaseRepresentation
bin1100111101011001101…
…0110000001100000000
3210021200012200212020000
43033112122300030000
512121432002410230
6250140230120000
722041146315430
oct3172632601400
9707605625200
10222640669440
118646a943262
1237195ab0000
1317cc1b091b7
14aac0d942c0
155bd0e55b60
hex33d66b0300

222640669440 has 1440 divisors, whose sum is σ = 953902946304. Its totient is φ = 48532193280.

The previous prime is 222640669423. The next prime is 222640669457. The reversal of 222640669440 is 44966046222.

It is an interprime number because it is at equal distance from previous prime (222640669423) and next prime (222640669457).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2080753867 + ... + 2080753973.

Almost surely, 2222640669440 is an apocalyptic number.

222640669440 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 222640669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476951473152).

222640669440 is an abundant number, since it is smaller than the sum of its proper divisors (731262276864).

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

222640669440 is a wasteful number, since it uses less digits than its factorization.

222640669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 222640669440 in words is "two hundred twenty-two billion, six hundred forty million, six hundred sixty-nine thousand, four hundred forty".