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1422444960 = 25325987809
BaseRepresentation
bin101010011001000…
…1100100110100000
310200010120200122200
41110302030212200
510403121214320
6353051533200
750151403566
oct12462144640
93603520580
101422444960
1166aa29a52
1233845a200
13198909a11
14d6cb5a36
1584d2a290
hex54c8c9a0

1422444960 has 72 divisors (see below), whose sum is σ = 4854098340. Its totient is φ = 379318272.

The previous prime is 1422444949. The next prime is 1422444967. The reversal of 1422444960 is 694442241.

It is a happy number.

1422444960 is a `hidden beast` number, since 142 + 24 + 4 + 496 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1349239824 + 73205136 = 36732^2 + 8556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1422444967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492465 + ... + 495344.

Almost surely, 21422444960 is an apocalyptic number.

1422444960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1422444960 is an abundant number, since it is smaller than the sum of its proper divisors (3431653380).

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

1422444960 is a wasteful number, since it uses less digits than its factorization.

1422444960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987830 (or 987819 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1422444960 is about 37715.3146612885. The cubic root of 1422444960 is about 1124.6355916037.

The spelling of 1422444960 in words is "one billion, four hundred twenty-two million, four hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 987809 1975618 2963427 3951236 4939045 5926854 7902472 8890281 9878090 11853708 14817135 15804944 17780562 19756180 23707416 29634270 31609888 35561124 39512360 44451405 47414832 59268540 71122248 79024720 88902810 94829664 118537080 142244496 158049440 177805620 237074160 284488992 355611240 474148320 711222480 1422444960