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22372004416 = 263773312889
BaseRepresentation
bin10100110101011110…
…011011001001000000
32010202010212120121011
4110311132123021000
5331304213120131
614135541410304
71421253620446
oct246536331100
963663776534
1022372004416
119540460053
124404409994
132156c40a48
141123338b96
158ae1120b1
hex53579b240

22372004416 has 56 divisors (see below), whose sum is σ = 45660040760. Its totient is φ = 10867986432.

The previous prime is 22372004401. The next prime is 22372004429. The reversal of 22372004416 is 61440027322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16210382400 + 6161622016 = 127320^2 + 78496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1729300 + ... + 1742188.

Almost surely, 222372004416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22372004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22830020380).

22372004416 is an abundant number, since it is smaller than the sum of its proper divisors (23288036344).

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

22372004416 is a wasteful number, since it uses less digits than its factorization.

22372004416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13671 (or 13661 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 22372004416 in words is "twenty-two billion, three hundred seventy-two million, four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 733 1184 1466 2368 2932 5864 11728 12889 23456 25778 27121 46912 51556 54242 103112 108484 206224 216968 412448 433936 476893 824896 867872 953786 1735744 1907572 3815144 7630288 9447637 15260576 18895274 30521152 37790548 75581096 151162192 302324384 349562569 604648768 699125138 1398250276 2796500552 5593001104 11186002208 22372004416